An inverse problem of recovering the heat source coefficient in a fourth-order time-fractional pseudo-parabolic equation

Huntul, M.J.; Tekin, I.; Iqbal, Muhammad Kashif; Abbas, Muhammad

doi:10.1016/j.cam.2023.115712

Journal of Computational and Applied Mathematics

2024

DOI: 10.1016/j.cam.2023.115712

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An inverse problem of recovering the heat source coefficient in a fourth-order time-fractional pseudo-parabolic equation

M.J. Huntul,

I. Tekin,

Muhammad Kashif Iqbal

et al.

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2024

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Cited by 3 publications

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Analyzing inverse backward problem in nonlinear integro-differential equation with memory kernel

Huntul

2024

Results in Applied Mathematics

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Analyzing inverse backward problem in nonlinear integro-differential equation with memory kernel

Huntul

2024

Results in Applied Mathematics

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Bhaskar-Lakshmikantham fixed point theorem vs Ran-Reunrings one and some possible generalizations and applications in matrix equations

Ali,

Dinkova,

Ilchev

et al. 2024

MATH

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<p>We provided a generalization of the existence and uniqueness of fixed points in partially ordered metric spaces for a monotone map. We applied the major results in the investigation of coupled fixed points for ordered pairs of two maps that met various monotone features, which included a mixed monotone property or a total monotone property. To ascertain necessary requirements for the existence and uniqueness of solutions to systems of matrix equations, the results regarding coupled fixed points for ordered pairs of maps were utilized. These results are illustrated with numerical examples. Some of the known results are a consequence of the results we obtained.</p>

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Inverse source problems for multi-parameter space-time fractional differential equations with bi-fractional Laplacian operators

Huntul

2024

MATH

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<p>Two inverse source problems for a space-time fractional differential equation involving bi-fractional Laplacian operators in the spatial variable and Caputo time-fractional derivatives of different orders between 1 and 2 are studied. In the first inverse source problem, the space-dependent term along with the diffusion concentration is recovered, while in the second inverse source problem, the time-dependent term along with the diffusion concentration is identified. Both inverse source problems are ill-posed in the sense of Hadamard. The existence and uniqueness of solutions for both inverse source problems are investigated. Finally, several examples are presented to illustrate the obtained results for the inverse source problems.</p>

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An inverse problem of recovering the heat source coefficient in a fourth-order time-fractional pseudo-parabolic equation

Cited by 3 publications

References 28 publications

Analyzing inverse backward problem in nonlinear integro-differential equation with memory kernel

Analyzing inverse backward problem in nonlinear integro-differential equation with memory kernel

Bhaskar-Lakshmikantham fixed point theorem vs Ran-Reunrings one and some possible generalizations and applications in matrix equations

Inverse source problems for multi-parameter space-time fractional differential equations with bi-fractional Laplacian operators

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