Analysis on a nonlinear fractional differential equations in a bounded domain $$[1,\mathcal {T}]$$-Reference-Cited by-同舟云学术

Analysis on a nonlinear fractional differential equations in a bounded domain $$[1,\mathcal {T}]$$

Published:2024-02-19 Issue:2 Volume:70 Page:1275-1293
ISSN:1598-5865
Container-title:Journal of Applied Mathematics and Computing
language:en
Short-container-title:J. Appl. Math. Comput.

Author:

Awadalla Muath^ORCID,Buvaneswari K.,Karthikeyan P.,Hannabou Mohamed,Karthikeyan K.,AlAdsani Feryal,Alahmadi Jihan

Abstract

AbstractIn this manuscript, based on the most widespread fixed point theories in literature. The existence of solutions to the system of nonlinear fractional differential equations with Caputo Hadmard fractional operator in a bounded domain is verified by using Mönoch’s fixed point theorem, The stability of the coupled system is also investigated via Ulam-Hyer technique. Finally, an applied numerical example is presented to illustrate the theoretical results obtained.

Funder

Deanship of Scientific Research, Prince Sattam bin Abdulaziz University

Deanship of Scientific Research, King Faisal University

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s12190-024-01998-5.pdf

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