This paper deals with a general class of nonlinear fractional differential equations with p-Laplacian operator that involves some sequential Caputo derivatives. New criteria on the existence and uniqueness of solutions are established. The stability analysis in the sense of Ulam Hyers is discussed. An illustrative example is presented.
In this paper, we study the existence of solutions for a coupled system of fractional differential equations with nonlocal integro multi point boundary conditions by using the Laplacian operator and the Hilfer derivatives. The presented results are obtained by the fixed point theorems of Krasnoselskii. An illustrative example is presented at the end to show the applicability of the obtained results. To the best of our knowledge, this is the first time where such problem is considered.
We study an integro differential problem of Lane-Emden type that involves three phi Caputo derivatives. We begin by proving an existence results by means of Schauder theorem. Then, we investigate the niqueness of solution using Banach contraction principle. At the end, one example is discussed.
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