In this paper, we study a backward problem for an inhomogeneous fractional diffusion
equation in a bounded domain. By applying the properties of Mittag‐Leffler functions and the …

We consider the inverse problem of determination of the solution and a source term for a
time fractional diffusion equation in two dimensional space. The time fractional derivative is …

The nonlocal boundary value problem, dt ρ u (t)+ A u (t)= f (t)(0< ρ< 1, 0< t≤ T), u (ξ)= α u
(0)+ φ (α is a constant and 0< ξ≤ T), in an arbitrary separable Hilbert space H with the …

An inverse problem of determining a time dependent source term along with
diffusion/temperature concentration from a non-local over-specified condition for a space …

Abstract Fractional Dzherbashian-Nersesian operator is considered and three famous
fractional order derivatives named after Riemann-Liouville, Caputo and Hilfer are shown to …

We considered two inverse source problems for a space–time fractional differential
equation. Firstly recovery of a space dependent source term is studied, secondly …

An inverse problem of determining a time‐dependent source term from the total energy
measurement of the system (the over‐specified condition) for a space‐time fractional …

Initial boundary value problems with a time-nonlocal condition for a subdiffusion equation
with the Riemann-Liouville time-fractional derivatives are considered. The elliptical part of …

This paper is devoted to identifying a time-dependent source term for a multi-term time-
fractional diffusion equation with a nonlocal dynamic boundary and integral type over …

We investigate the initial-boundary value problems for a fourth-order differential equation
within the powerful fractional Dzherbashian-Nersesian operator (FDNO). Boundary …