Nonlocal conditions for fractional differential equations

Abdelkader Boucherif, Fatima Dib, Naima Daoudi-Merzagui

Abstract


In this work we use the method of lower and upper solutions to develop an iterative technique, which is not necessarily monotone, and combined with a fixed point theorem to prove the existence of at least one solution of nonlinear fractional differential equations with nonlocal boundary conditions of integral type.

Keywords


Fractional differential equations; nonlocal conditions; upper and lower solutions; iterative technique; fixed point

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References


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DOI: http://dx.doi.org/10.24193/subbmath.2024.4.08

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