Dr. Salih Tatar

Associate Professor of Mathematics

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An Iterative Approach for Numerical Solution to the Time-fractional Richards Equation with Implicit Neumann Boundary Conditions

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Conditions, A. I. A. for N. S. to the T. -fractional R. E. with I. N. B. (2023). An Iterative Approach for Numerical Solution to the Time-fractional Richards Equation with Implicit Neumann Boundary Conditions. Ejpam.

Determination of a Nonlinear Coefficient in a Time-Fractional Diffusion Equation

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Zeki, M. (2023). Determination of a Nonlinear Coefficient in a Time-Fractional Diffusion Equation. Fractal And Fractional.

DETERMINATION OF A NONLINEAR COEFFICIENT IN A TIME-FRACTIONAL DIFFUSION EQUATION

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DETERMINATION OF A NONLINEAR COEFFICIENT IN A TIME-FRACTIONAL DIFFUSION EQUATION. (2022). DETERMINATION OF A NONLINEAR COEFFICIENT IN A TIME-FRACTIONAL DIFFUSION EQUATION. Authorea Preprints, 2022.

An inverse source problem for pseudo-parabolic equation with Caputo derivative

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An inverse source problem for pseudo-parabolic equation with Caputo derivative. (2022). An inverse source problem for pseudo-parabolic equation with Caputo derivative. Journal Of Applied Mathematics And Computing 68 (2), 739-765, 2022.

An inverse problem for an inhomogeneous time-fractional diffusion equation: a regularization method and error estimate

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An inverse problem for an inhomogeneous time-fractional diffusion equation: a regularization method and error estimate. (2019). An inverse problem for an inhomogeneous time-fractional diffusion equation: a regularization method and error estimate. Computational And Applied Mathematics 38 (2), 1-22, 2019.

Recovery of the solute concentration and dispersion flux in an inhomogeneous time fractional diffusion equation

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Recovery of the solute concentration and dispersion flux in an inhomogeneous time fractional diffusion equation. (2018). Recovery of the solute concentration and dispersion flux in an inhomogeneous time fractional diffusion equation. Journal Of Computational And Applied Mathematics 342, 96-118, 2018.

Tikhonov regularization method for a backward problem for the inhomogeneous time-fractional diffusion equation

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Tikhonov regularization method for a backward problem for the inhomogeneous time-fractional diffusion equation. (2018). Tikhonov regularization method for a backward problem for the inhomogeneous time-fractional diffusion equation. Applicable Analysis 97 (5), 842-863, 2018.

Numerical solutions of direct and inverse problems for a time fractional elastoplasticity equation

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Numerical solutions of direct and inverse problems for a time fractional elastoplasticity equation. (2018). Numerical solutions of direct and inverse problems for a time fractional elastoplasticity equation. Asce Journal Of Engineering Mechanics.

Blow-up for an evolution equation related to elastoplastic torsional problem

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Blow-up for an evolution equation related to elastoplastic torsional problem. (2018). Blow-up for an evolution equation related to elastoplastic torsional problem. Ejde.

Numerical solutions of direct and inverse problems for a time fractional viscoelastoplastic equation

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Numerical solutions of direct and inverse problems for a time fractional viscoelastoplastic equation. (2017). Numerical solutions of direct and inverse problems for a time fractional viscoelastoplastic equation. Journal Of Engineering Mechanics 143 (7), 04017035, 2017.

Analysis of direct and inverse problems for a fractional elastoplasticity model

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Analysis of direct and inverse problems for a fractional elastoplasticity model. (2017). Analysis of direct and inverse problems for a fractional elastoplasticity model. Filomat 31 (3), 699-708, 2017.

An inverse problem for a nonlinear diffusion equation with time-fractional derivative

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An inverse problem for a nonlinear diffusion equation with time-fractional derivative. (2017). An inverse problem for a nonlinear diffusion equation with time-fractional derivative. Journal Of Inverse And Ill-Posed Problems 25 (2), 185-193, 2017.

Simultaneous inversion for the exponents of the fractional time and space derivatives in the space-time fractional diffusion equation

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Simultaneous inversion for the exponents of the fractional time and space derivatives in the space-time fractional diffusion equation. (2016). Simultaneous inversion for the exponents of the fractional time and space derivatives in the space-time fractional diffusion equation. Applicable Analysis 95 (1), 1-23, 2016, 95 (2016)(2016), 1-23.

Simultaneous determination of the strain hardening exponent, the shear modulus and the elastic stress limit in an inverse problem

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Simultaneous determination of the strain hardening exponent, the shear modulus and the elastic stress limit in an inverse problem. (2016). Simultaneous determination of the strain hardening exponent, the shear modulus and the elastic stress limit in an inverse problem. Applied Mathematical Modelling 40 (15-16), 6956-6968, 2016.

An inverse source problem for a one dimensional space-time fractional diffusion equation

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An inverse source problem for a one dimensional space-time fractional diffusion equation. (2015). An inverse source problem for a one dimensional space-time fractional diffusion equation. Applicable Analysis, 94(11)(2015), 2233-2244.

Structural stability for the Morris-Lecar neuron model

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Structural stability for the Morris-Lecar neuron model. (2015). Structural stability for the Morris-Lecar neuron model. , Applied Mathematics And Computation, 270(2015), 261-268.

An inverse coefficient problem for a nonlinear reaction diffusion equation with a nonlinear source

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An inverse coefficient problem for a nonlinear reaction diffusion equation with a nonlinear source. (2015). An inverse coefficient problem for a nonlinear reaction diffusion equation with a nonlinear source. Electron. J. Differ. Equ 245, 2015, 2015, 245 (2015)(2015), 1-10.

SIMULTANEOUS DETERMINATION OF THE STRAIN HARDENING EXPONENT, THE SHEAR MODULUS AND THE YIELD STRESS IN AN INVERSE PROBLEM

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SIMULTANEOUS DETERMINATION OF THE STRAIN HARDENING EXPONENT, THE SHEAR MODULUS AND THE YIELD STRESS IN AN INVERSE PROBLEM. (2015). SIMULTANEOUS DETERMINATION OF THE STRAIN HARDENING EXPONENT, THE SHEAR MODULUS AND THE YIELD STRESS IN AN INVERSE PROBLEM. 40 (2016)(2016), 6956–6968.

Determination of an unknown source term in a spaceDtime fractional diffusion equation

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Determination of an unknown source term in a spaceDtime fractional diffusion equation. (2015). Determination of an unknown source term in a spaceDtime fractional diffusion equation. Journal Of Fractional Calculus And Applications (Jfca), 6 (2015)(6), 94D101.

Structural stability for the Morris–Lecar neuron model

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Structural stability for the Morris–Lecar neuron model. (2015). Structural stability for the Morris–Lecar neuron model. Applied Mathematics And Computation 270, 261-268, 2015.

An inverse source problem for a one-dimensional space–time fractional diffusion equation

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An inverse source problem for a one-dimensional space–time fractional diffusion equation. (2015). An inverse source problem for a one-dimensional space–time fractional diffusion equation. Applicable Analysis 94 (11), 2233-2244, 2015.

Determination of an unknown source term in a space-time fractional diffusion equation

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Determination of an unknown source term in a space-time fractional diffusion equation. (2015). Determination of an unknown source term in a space-time fractional diffusion equation. Journal Of Fractional Calculus And Applications 6 (1), 83-90, 2015.

Numerical solution of the nonlinear evolutional inverse problem related to elastoplastic torsional problem

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Numerical solution of the nonlinear evolutional inverse problem related to elastoplastic torsional problem. (2014). Numerical solution of the nonlinear evolutional inverse problem related to elastoplastic torsional problem. Applicable Analysis 93 (6), 1187-1200, 2014.

A modification of the semi-analytic inversion method: Determination of the yield stress and a comparison with the parametrization algorithm

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A modification of the semi-analytic inversion method: Determination of the yield stress and a comparison with the parametrization algorithm. (2014). A modification of the semi-analytic inversion method: Determination of the yield stress and a comparison with the parametrization algorithm. Inverse Problems In Science And Engineering 22 (4), 543-556, 2014.

Identification of the density dependent coefficient in an inverse reactionD diffusion problem from a single boundary data

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Identification of the density dependent coefficient in an inverse reactionD diffusion problem from a single boundary data. (2014). Identification of the density dependent coefficient in an inverse reactionD diffusion problem from a single boundary data. Electronic Journal Of Differential Equations, 21 (2014)(21), 1D14.

Identification of the density dependent coefficient in an inverse reaction-diffusion problem from a single boundary data

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Identification of the density dependent coefficient in an inverse reaction-diffusion problem from a single boundary data. (2014). Identification of the density dependent coefficient in an inverse reaction-diffusion problem from a single boundary data. Electronic Journal Of Differential Equations 2014 (21), 1-14, 2014.

A modification of the semiDanalytic inversion method: Determination of the yield stress and a comparison with the parametrization algorithm

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A modification of the semiDanalytic inversion method: Determination of the yield stress and a comparison with the parametrization algorithm. (2014). A modification of the semiDanalytic inversion method: Determination of the yield stress and a comparison with the parametrization algorithm. Inverse Problems In Science And Engineering, 22 (2014)(22), 543D556.

Numerical solution of the nonlinear evolutional inverse problem related to elastoplastic torsional problem

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Numerical solution of the nonlinear evolutional inverse problem related to elastoplastic torsional problem. (2014). Numerical solution of the nonlinear evolutional inverse problem related to elastoplastic torsional problem. Applicable Analysis, 93 (2014)(93), 1187D1200.

Existence and uniqueness for a nonlinear inverse reaction‐diffusion problem with a nonlinear source in higher dimensions

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Existence and uniqueness for a nonlinear inverse reaction‐diffusion problem with a nonlinear source in higher dimensions. (2013). Existence and uniqueness for a nonlinear inverse reaction‐diffusion problem with a nonlinear source in higher dimensions. Mathematical Methods In The Applied Sciences 36 (17), 2397-2402, 2013.

Numerical solution of the nonlinear parabolic problem related to inverse elastoplastic torsional problem

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Numerical solution of the nonlinear parabolic problem related to inverse elastoplastic torsional problem. (2013). Numerical solution of the nonlinear parabolic problem related to inverse elastoplastic torsional problem. Inverse Problems In Science And Engineering, 21 (2013)(21), 52D62.

Monotonicity of input–output mapping related to inverse elastoplastic torsional problem

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Monotonicity of input–output mapping related to inverse elastoplastic torsional problem. (2013). Monotonicity of input–output mapping related to inverse elastoplastic torsional problem. Applied Mathematical Modelling 37 (23), 9552-9561, 2013.

QuasiDsolution approach for a two dimensional nonlinear inverse diffusion problem

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QuasiDsolution approach for a two dimensional nonlinear inverse diffusion problem. (2013). QuasiDsolution approach for a two dimensional nonlinear inverse diffusion problem. Applied Mathematics And Computation, 219 (2013)(219), 10956D10960.

Monotonicity of inputDoutput mapping related to inverse elastoplastic torsional problem

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Monotonicity of inputDoutput mapping related to inverse elastoplastic torsional problem. (2013). Monotonicity of inputDoutput mapping related to inverse elastoplastic torsional problem. Applied Mathematical Modeling, 37 (2013)(37), 9552D9561.

Existence and uniqueness for a nonlinear inverse reactionDdiffusion problem with a nonlinear source in higher dimensions

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Existence and uniqueness for a nonlinear inverse reactionDdiffusion problem with a nonlinear source in higher dimensions. (2013). Existence and uniqueness for a nonlinear inverse reactionDdiffusion problem with a nonlinear source in higher dimensions. Mathematical Methods In The Applied Sciences, 36 (2013)(36), 2397D 2402.

A uniqueness result in an inverse problem for a spaceDtime fractional diffusion equation

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A uniqueness result in an inverse problem for a spaceDtime fractional diffusion equation. (2013). A uniqueness result in an inverse problem for a spaceDtime fractional diffusion equation. Electronic Journal Of Differential Equations (Ejde), 258 (2013)(258), 1D9.

Numerical solution of the nonlinear parabolic problem related to inverse elastoplastic torsional problem

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Numerical solution of the nonlinear parabolic problem related to inverse elastoplastic torsional problem. (2013). Numerical solution of the nonlinear parabolic problem related to inverse elastoplastic torsional problem. Inverse Problems In Science And Engineering 21 (1), 52-62, 2013.

Quasi-solution approach for a two dimensional nonlinear inverse diffusion problem

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Quasi-solution approach for a two dimensional nonlinear inverse diffusion problem. (2013). Quasi-solution approach for a two dimensional nonlinear inverse diffusion problem. Applied Mathematics And Computation 219 (23), 10956-10960, 2013.

A uniqueness result for an inverse problem in a space-time fractional diffusion equation

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A uniqueness result for an inverse problem in a space-time fractional diffusion equation. (2013). A uniqueness result for an inverse problem in a space-time fractional diffusion equation. Electron. J. Differ. Equ 257, 1-9, 2013.

Analytical solutions of a class of inverse coefficients problems

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Analytical solutions of a class of inverse coefficients problems. (2012). Analytical solutions of a class of inverse coefficients problems. Applied Mathematics Letters, 25 (2012)(25), 2391D2395.

Analytical solutions of a class of inverse coefficient problems

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Analytical solutions of a class of inverse coefficient problems. (2012). Analytical solutions of a class of inverse coefficient problems. Applied Mathematics Letters 25 (12), 2391-2395, 2012.

Monoton potansiyel operatörle tanımlanmış eliptik denklem için ters katsayı problemi

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Monoton potansiyel operatörle tanımlanmış eliptik denklem için ters katsayı problemi. (2011). Monoton potansiyel operatörle tanımlanmış eliptik denklem için ters katsayı problemi. Kocaeli Üniversitesi, Fen Bilimleri Enstitüsü, 2011.

SemiDanalytic inversion method for determination elastoplastic properties power hardening materials from limited torsional experiment

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SemiDanalytic inversion method for determination elastoplastic properties power hardening materials from limited torsional experiment. (2010). SemiDanalytic inversion method for determination elastoplastic properties power hardening materials from limited torsional experiment. Inverse Problems In Science And Engineering, 18 (2010)(265D278).

Semi-analytic inversion method for the determination of elastoplastic properties of power hardening materials from limited torsional experiment

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Semi-analytic inversion method for the determination of elastoplastic properties of power hardening materials from limited torsional experiment. (2010). Semi-analytic inversion method for the determination of elastoplastic properties of power hardening materials from limited torsional experiment. Inverse Problems In Science And Engineering 18 (2), 265-278, 2010.

An inversion method for identification of elastoplastic properties of a beam from torsional experiment

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An inversion method for identification of elastoplastic properties of a beam from torsional experiment. (2010). An inversion method for identification of elastoplastic properties of a beam from torsional experiment. International Journal Of Nond Linear Mechanics, 45 (2010)(45), 562D571.

An inversion method for identification of elastoplastic properties of a beam from torsional experiment

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An inversion method for identification of elastoplastic properties of a beam from torsional experiment. (2010). An inversion method for identification of elastoplastic properties of a beam from torsional experiment. International Journal Of Non-Linear Mechanics 45 (5), 562-571, 2010.

Solutions of linear and nonlinear problems related to torsional rigidity of a beam

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Solutions of linear and nonlinear problems related to torsional rigidity of a beam. (2009). Solutions of linear and nonlinear problems related to torsional rigidity of a beam. Computational Materials Science 45 (2), 494-498, 2009, 45 (2009)(2009), 494D 498.

Esnek olmayan çubuğun bükülmesi ile ilgili monoton operatörlü ters katsayı probleminin çözümü

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Esnek olmayan çubuğun bükülmesi ile ilgili monoton operatörlü ters katsayı probleminin çözümü. (2007). Esnek olmayan çubuğun bükülmesi ile ilgili monoton operatörlü ters katsayı probleminin çözümü. Kocaeli Üniversitesi, Fen Bilimleri Enstitüsü, 2007.

Recovery of the solute concentration and dispertion flux in an inhomogeneous time fractional diffusion equation

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Recovery of the solute concentration and dispertion flux in an inhomogeneous time fractional diffusion equation. Recovery of the solute concentration and dispertion flux in an inhomogeneous time fractional diffusion equation.

Existence and uniqueness in an inverse source problem for a one-dimensional time-fractional diffusion equation

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Existence and uniqueness in an inverse source problem for a one-dimensional time-fractional diffusion equation. Existence and uniqueness in an inverse source problem for a one-dimensional time-fractional diffusion equation.

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