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Upper and Lower Solutions Method for Higher Order Boundary Value Problems |
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PP: 53-57 |
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doi:10.18576/pfda/030105
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Author(s) |
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Rabah Khaldi,
Guezane-Lakoud,
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Abstract |
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| This paper is devoted to the study of existence of solutions for two point boundary value problems (P1) for fractional differential equations of arbitrary order q ≥ 2, by applying upper and lower solutions method together with Schauder’s fixed point Theorem. First, we transform the posed problem to an ordinary first order initial value problem, that we modify to prove the existence of solutions for the problem (P1), moreover we give the explicit expression of the upper and lower solutions of problem (P1). The obtained results are illustrated by some examples |
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