Analysis of fractional boundary value problem with non local flux multi-point conditions on a Caputo fractional differential equation
DOI:
https://doi.org/10.24193/subbmath.2019.4.06Keywords:
Fractional differential equation, Caputo derivative, multi-point, non- local, 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, Krasnoselskii- Schaefer fixed point theorem due to Burton and Kirk, fixed point theorem due to O’Regan. Relevant examples illustrating the main results are also constructed.
Mathematics Subject Classification (2010): 34A08, 34A12, 34B10.
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