UPPER AND LOWER SOLUTIONS METHOD FOR
FRACTIONAL DIFFERENTIAL EQUATIONS
WITH INTEGRAL BOUNDARY CONDITIONS
Jayshree Patil, Archana Chaudhari2, Mohammed S. Abdo3,
Amol Bachhav1, Basel Hardan2 1 Department of Mathematics, Vasantrao Naik Mahavidyalaya
Cidco, Aurangabad (M.S.), INDIA 2Department of Mathematics
Dr. Babasaheb Ambedkar Marathwada University
Aurangabad 431004 (M.S.), INDIA 3 Department of Mathematics, Hodeidah University
In this paper, we investigate the existence and uniqueness of positive solutions of boundary value problems (BVPs) for fractional differential equations (FDEs) with boundary conditions (BCs) involving the Riemann-Liouville (RL) fractional derivative of the form:
The technique employed is coupled lower and upper solutions with fixed point theory on cone.
An example is presented to justify our results.
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