On generalized Caputo fractional differential equations and inclusions with non-local generalized fractional integral boundary conditions

Muthaiah Subramanian; Sargunam Muthu; Murugesan Manigandan; Thangaraj Nandha Gopal

doi:10.26637/MJM0803/0063

Abstract

In this article, concerning nonlocal generalized fractional integral boundary conditions, we investigate the existence of solutions for new boundary value problems of generalized Caputo-type fractional differential equations and inclusions. In the case of equations, we make use of the Banach fixed point theorem and fixed point theorem due to O'Regan and the nonlinear alternative for contractive maps for inclusions. Examples are given to clarify our main results. Finally, we discuss some variants of the given problem.

Keywords:

Fractional differential equations, generalized Caputo fractional derivative, Generalized Riemann-Liouville fractional integral, Non-local, Existence, Inclusions, Fixed point

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

Muthaiah Subramanian Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-641020, Tamilnadu, India. https://orcid.org/0000-0001-5281-0935
Sargunam Muthu School of Education Science, DMI-ST.Eugene University, Chipata Campus, Zambia.
Murugesan Manigandan Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-641020, Tamilnadu, India.
Thangaraj Nandha Gopal Department of Mathematics, Sri Ramakrishna Mission Vidyalaya College of Arts and Science, Coimbatore-641020, Tamilnadu, India.

Pages: 1099-1109
Date Published: 01-07-2020
Vol. 8 No. 03 (2020): Malaya Journal of Matematik (MJM)

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