In this paper, we aim to propose a novel analytical method for obtaining atomic solutions to
partial differential equations. A theory of tensor products in Banach spaces is utilized and …

Solvability of the Solution of Superlinear Hyperbolic Dirichlet Problem Page 1 Int. J. Anal.
Appl. (2022), 20:62 Solvability of the Solution of Superlinear Hyperbolic Dirichlet Problem …

This work purposes to establish a novel analytical method to obtain the atomic solutions of
partial differential equations. This will be carried out by employing the tensor product theory …

The main purpose of this paper is to examine the inverse problem associated with
determining the right-hand side of a nonlinear fractional parabolic equation. This equation is …

In this work, we are concerned by the problem of identification of noisy terms which arise in
singular problem as for remote sensing problems, and which are modeled by a linear …

This paper introduces some important dissipative problems that are recent and still of
intermittent interest. The classical dynamics of Helmholtz and Kelvin–Helmholtz instability …

The purpose of this paper is to prove the global existence of solution for one of most
significant fractional partial differential system called the fractional reaction-diffusion system …

In this article, we are devoted to study the problem of the existence, uniqueness and
positivity of the global solutions of the 3× 3 reaction-diffusion systems with the total mass of …

The study of the blow-up phenomenon for fractional reaction–diffusion problems is generally
deemed of great importance in dealing with several situations that impact our daily lives, and …

The solvability of the semilinear parabolic problem with integral over determination condition
for an inverse problem is investigated in this work. Accordingly, we solve the generated …