Existence of a solution to the problem posed for a system of fractional diffusion equations

Existence of a solution to the problem posed for a system of fractional diffusion equations

Authors

  • Turdiev Khalim Khamroyevich
  • Bahronova Sayyora Botir qizi
  • Amrulloyeva Zarina Asad qizi

Abstract

In recent years the field of fractional calculus has attracted interest of researchers in several areas
including mathematics, physics, chemistry, engineering and even finance and social sciences. The initial,
initial boundary value problem for frac

References

K.M. Furati, O.S. Iyiola, M. Kirane, An inverse problem for a generalised fractional diffusion, Appl. Math. Comput. 249, pp. 24--31, (2014).

K.M. Furati, M. D. Kassim, N. E. Tatar, textquotedblleft Non-existence of global solutions for a differential equation involving Hilfer fractional derivative, Electron. J. Differ. Equ., 235, 1-10, (2013).

H.H. Turdiev, Inverse coefficient problems for a time-fractional wave equation with the generalized Riemann-Liouville time derivative, Russian Mathematics (Izvestiya VUZ. Matematika), 10, pp. 46-59, (2023).

D. K. Durdiev, H.H. Turdiev, Inverse Coefficient Problem for Fractional Wave Equation with the Generalized Riemann–Liouville Time Derivative, Indian J Pure Appl Math, https://doi.org/10.1007/s13226-023-00517-9, 2023.

D.K. Durdiev, H.H. Turdiev, Inverse coefficient problem for a time-fractional wave equation with initial-boundary and integral type overdetermination conditions, Math. Meth. Appl. Sci., DOI

1002/mma.9867, 2023.

D.K. Durdiev, H.H. Turdiev, Determining of a space dependent coefficient of fractional diffusion equation with the generalized Riemann–Liouville time derivative, Lobachevskii Journal of Mathematics, 45, No. 2, pp. 80–94, 2024.

D.K. Durdiev, Z.D. Totieva, The problem of determining the one-dimensional matrix kernel of the system of visco-elasticity equation, Math Met Appl Scie., 41(17), 8019–8032, (2018).

D.K. Durdiev,, Kh.Kh. Turdiev, The Problem of Finding the Kernels in the System of IntegroDifferential Maxwell‘s Equations, Sib. Zh. Ind. Math., 24(2), 38–61, (2021).

D.K. Durdiev,, Kh.Kh. Turdiev, An Inverse Problem for a First Order Hyperbolic System with

Memory, Differentsial equation, 56 (12),1666–1675, (2020).

Published

2024-06-06

How to Cite

Turdiev, K., Bahronova, S., & Amrulloyeva, Z. (2024). Existence of a solution to the problem posed for a system of fractional diffusion equations: Existence of a solution to the problem posed for a system of fractional diffusion equations. MODERN PROBLEMS AND PROSPECTS OF APPLIED MATHEMATICS, 1(01). Retrieved from https://ojs.qarshidu.uz/index.php/mp/article/view/649

Issue

Section

Mathematical analysis, differential equations and equations of mathematical physics