We consider an inverse problem for diffusion equation involving fractional Laplacian
operator in space and Hilfer fractional derivatives in time with Dirichlet zero boundary …

Direct and two inverse problems for a Legendre equation involving integral convolution in
time are studied. The inverse problems are ill-posed in the sense of Hadamard. The …

This paper focuses on the backward problem related to an integro-differential equation with
a general convolutional derivative in time and nonlinear source terms. The existence …

A diffusion equation involving integral convolution in time variable with arbitrary kernel and
nonlocal boundary conditions is considered. The existence and uniqueness results for two …

This paper delves into both direct and two inverse source problems associated with a
diffusion equation featuring integral convolution over time, while considering non-classical …

The direct and two inverse problems defined for an integro-differential equation on a
bounded domain have been considered. The spectral problem of the integro-differential …

Two inverse source problems for a space-time fractional differential equation involving
bifractional Laplacian operators in the spatial variable and Caputo time-fractional derivatives …

In this paper, we first study the inverse source problem for the heat equation with a memory
term. This problem is non-well-posed in the sense of Hadamard. We also investigate the …