Analysis of fractional boundary value problem with non local  flux multi-point conditions on a Caputo fractional differential equation

Muthaiah Subramanian; A Ramamurthy Vidhya Kumar; Thangaraj Nandha Gopal

doi:10.24193/subbmath.2019.4.06

Analysis of fractional boundary value problem with non local flux multi-point conditions on a Caputo fractional differential equation

Authors

Muthaiah Subramanian
A Ramamurthy Vidhya Kumar
Thangaraj Nandha Gopal

DOI:

https://doi.org/10.24193/subbmath.2019.4.06

Keywords:

Fractional differential equation, Caputo derivative, Multi-point, Nonlocal, Integral conditions, Existence, Fixed point.

Abstract

A brief analysis of boundary value problem of Caputo fractional differential equation with nonlocal flux multi-point boundary conditions has been done. The investigation depends on the Banach fixed point theorem and Krasnoselskii-Schaefer fixed point theorem due to Burton and Kirk, a fixed point theorem due O'Regan. Relevant examples illustrating the main results are also constructed.