Investigation of the p-Laplacian nonperiodic nonlinear boundary value problem via generalized Caputo fractional derivatives-Reference-Cited by-同舟云学术

Investigation of the p-Laplacian nonperiodic nonlinear boundary value problem via generalized Caputo fractional derivatives

Published:2021-01-22 Issue:1 Volume:2021 Page:
ISSN:1687-1847
Container-title:Advances in Difference Equations
language:en
Short-container-title:Adv Differ Equ

Author:

Matar M. M.,Abbas M. I.,Alzabut J.,Kaabar M. K. A.,Etemad S.,Rezapour S.^ORCID

Abstract

AbstractA newly proposed p-Laplacian nonperiodic boundary value problem is studied in this research paper in the form of generalized Caputo fractional derivatives. The existence and uniqueness of solutions are fully investigated for this problem using some fixed point theorems such as Banach and Schauder. This work is supported with an example to apply all obtained new results and validate their applicability.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Algebra and Number Theory,Analysis

Link

http://link.springer.com/content/pdf/10.1186/s13662-021-03228-9.pdf

Reference50 articles.

1. Alzabut, J., Abdeljawad, T., Alrabaiah, H.: Oscillation criteria for forced and damped nabla fractional difference equations. J. Comput. Anal. Appl. 24(8), 1387–1394 (2018)

2. Kaabar, M.: Novel methods for solving the conformable wave equation. J. New Theory 31, 56–85 (2019)

3. Kilbas, A.A., Srivastava, H.M., Trujillo, J.J.: Theory and Applications of Fractional Differential Equations. Elsevier, Amsterdam (2006)

4. Samko, S.G., Kilbas, A.A., Marichev, O.I.: Fractional Integrals and Derivatives: Theory and Applications. Gordon & Breach, Yverdon (1993)

5. Martinez, F., Martinez, I., Kaabar, M.K.A., Ortiz-Munuera, R., Paredes, S.: Existence of mild solution for hybrid differential equations with arbitrary fractional order. IAENG Int. J. Appl. Math. 50(3), 18 (2020)

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