Stability and Existence Analysis to a Coupled System of Caputo Type Fractional Differential Equations with Erdelyi-Kober Integral Boundary Conditions

Authors

Muthaiah Subramanian, Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore, Tamilnadu, IndiaFollow
Dumitru Baleanu, Department of Mathematics, Cankaya University, Ankara, Turkey\\Institute of Space Sciences, Magurele-Bucharest, RomaniaFollow

Author Country (or Countries)

India

Abstract

This article focuses on the Hyers-Ulam type stability, existence and uniqueness of solutions for new types of coupled boundary value problems involving fractional differential equations of Caputo type and augmented with Erdelyi-Kober fractional integral boundary conditions. The nonlinearity relies on the unknown functions. The consequence of the existence is obtained through the Leray-Schauder alternative, whereas the uniqueness of the solution relies on the Banach contraction mapping principle. We analyze the stability of the solutions concerned in the Hyers-Ulam form. As an application, some examples are presented to illustrate the main results. Finally, some variants of the problem are addressed.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/140307

Recommended Citation

Subramanian, Muthaiah and Baleanu, Dumitru (2020) "Stability and Existence Analysis to a Coupled System of Caputo Type Fractional Differential Equations with Erdelyi-Kober Integral Boundary Conditions," Applied Mathematics & Information Sciences: Vol. 14: Iss. 3, Article 7.
DOI: http://dx.doi.org/10.18576/amis/140307
Available at: https://digitalcommons.aaru.edu.jo/amis/vol14/iss3/7