Existence of solutions for weighted p(t)-Laplacian mixed Caputo fractional differential equations at resonance-Reference-Cited by-同舟云学术

Existence of solutions for weighted p(t)-Laplacian mixed Caputo fractional differential equations at resonance

Published:2022 Issue:1 Volume:36 Page:231-241
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Guezane Lakoud¹,Ashyralyev Allaberen²

Affiliation:

1. Laboratory of Advanced Materials, Department of Mathematics, Faculty of Sciences, University Badji Mokhtar-Annaba, Annaba, Algeria

2. Department of Mathematics, Bahcesehir University, Istanbul, Turkey + Peoples’ Friendship University of Russia (RUDN University), Ul Miklukho Maklaya, Moscow, Russia + Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan

Abstract

Using Mawhin?s coincidence degree theory, we investigate the existence of solutions for a class of weighted p(t)-Laplacian boundary value problems at resonance and involving left and right Caputo fractional derivatives. An example is provided to illustrate the main existence results.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference32 articles.

1. R.P. Agarwal, S. Gala, M.A. Ragusa, A regularity criterion in weak spaces to Boussinesq equations, Mathematics 8 (6), (2020) art. n. 920.

2. B. Ahmad, S. K. Ntouyas, A. Alsaedi, Existence theory for nonlocal boundary value problems involving mixed fractional derivatives. Nonlinear Anal. Model. Control. 24, (2019) 937-957.

3. B. Ahmad, A. Broom, A. Alsaedi, S. K. Ntouyas, Nonlinear integro-differential equations involving mixed right and left fractional derivatives and integrals with nonlocal boundary data, Mathematics. 8, (2020) 336.

4. A. Ashyralyev, A note on fractional derivatives and fractional powers of operators, J. Math. Anal. Appl. 357 (2009) 232-236.

5. Z. Bai, On solutions of some fractional m-point boundary value problems at resonance. Electron. J. Qual. Theory Differ. Equ. 2010, Article ID 37 (2010).

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