Some results for initial value problem of nonlinear fractional equation in Sobolev space

Djalal Boucenna; Ali Boulfoul; Amar Chidouh; Abdellatif Ben Makhlouf; Brahim Tellab

doi:10.1007/s12190-021-01500-5

Back

$Some results for initial value problem of nonlinear fractional equation in Sobolev space$

Journal article

Peer reviewed

Some results for initial value problem of nonlinear fractional equation in Sobolev space

Djalal Boucenna, Ali Boulfoul, Amar Chidouh, Abdellatif Ben Makhlouf and Brahim Tellab

Journal of applied mathematics & computing, Vol.67(1-2), pp.605-621

01/10/2021

DOI: https://doi.org/10.1007/s12190-021-01500-5

Abstract

Mathematics

Mathematics, Applied

Physical Sciences

Science & Technology

This paper focuses on the existence and uniqueness of solutions for certain types of fractional differential equations involving Riemann-Liouville derivative. The main results are obtained by some fixed point theorems in Sobolev space.

Metrics

1 Record Views

Details

Title: Some results for initial value problem of nonlinear fractional equation in Sobolev space
Creators - without role: Djalal Boucenna - University of Skikda
Ali Boulfoul - Kasdi Merbah Univ, Lab Appl Math, BP 511, Ouargla 30000, Algeria
Amar Chidouh - Chadli Ben djedid University, Eltarf, Algeria
Abdellatif Ben Makhlouf - Al Jouf University
Brahim Tellab - University of Ouargla
Publication Details: Journal of applied mathematics & computing, Vol.67(1-2), pp.605-621
Publisher: Springer Nature
Number of pages: 17
Identifiers: 9913207308331
Academic Unit: Al Jouf University
Language: English
Resource Type: Journal article