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


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.


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

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