The identification of the population density of a logistic equation backwards in time associated
with nonlocal diffusion and nonlinear reaction, motivated by biology and ecology fields, is …

This paper presents a modified quasi-reversibility method for computing the exponentially
unstable solution of a nonlocal terminal-boundary value parabolic problem with noisy data. …

This paper considers two problems: the initial boundary value problem of nonlinear Caputo
time-fractional pseudo-parabolic equations with fractional Laplacian, and the Cauchy …

In this paper, we aim to study a time-fractional Cauchy problem for a heat equation with a
nonlocal nonlinearity driven by simulation problems arising in populations, and biological …

In this paper, we investigate a final boundary value problem for a class of fractional with
parameter β pseudo-parabolic partial differential equations with nonlinear reaction term. For 0< β…

This paper investigates an inverse problem for fractional Rayleigh‐Stokes equations with
nonlinear source. The fractional derivative in time is taken in the sense of Riemann‐Liouville. …

In a general domain, we discuss an initial value problem for the symmetry generalized M $$
M $$ ‐coupled system of fourth‐order parabolic equations with space–time‐dependent …

In this paper, we discuss an initial value problem for the semilinear time-fractional diffusion
equation. The local well-posedness (existence and regularity) is presented when the source …

In this article, we study an inverse problem with inhomogeneous source to determine an initial
data from the time fractional diffusion equation. In general, this problem is ill‐posed in the …

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