Work

Hermite solution for a new fractional inverse differential problem

Year: 2024

Type: article

Abstract: Mathematics, mathematical modeling of real systems, and mathematical and computer methodologies aimed at the qualitative and quantitative study of real physical systems interact in a nontrivial way. This work aims to examine a new class of inverse problems for a fractional partial differential equation with order fractional , which leads to the spectral problem involving Hermite's differential equation. We introduce proven theorems on the existence and uniqueness of solutions to the current problem. We obtain solutions in the form of series expansion using the Hermite orthogonal basis. Finally, we discuss the convergence analysis of the obtained solutions.

Source: Mathematical Methods in the Applied Sciences

DOI: 10.1002/mma.10516

Authors: Mohammed Elamine Beroudj, Abdelaziz Mennouni, Carlo Cattani

Institutions: University of Batna 2, Università degli Studi della Tuscia

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,760

OpenAlex ID: W4402948394

FWCI: 2.343

Cites: 22

Cited by: 3

Related to: 10