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Abstract
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This work investigates a fractional boundary value problem in the sense
of Riemann-Liouville derivative and integral. We derive some novel results for the
necessary and sufficient conditions for the existence and uniqueness of the positive
solution. In this regard, some fixed-point theorems on cones are used. Also, a
convergent successive sequence to find the solution to the problem is introduced.
We derive the numerical scheme for the proposed problems. The correctness of the
proposed results is verified with some illustrative examples.
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