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A Survey on Existence Results for Boundary Value Problems of Nonlinear Fractional Differential Equations and Inclusions

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Abstract

In this survey paper, we shall establish sufficient conditions for the existence and uniqueness of solutions for various classes of initial and boundary value problem for fractional differential equations and inclusions involving the Caputo fractional derivative. The both cases of convex and nonconvex valued right hand side are considered. The topological structure of the set of solutions is also considered.

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  1. Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL, 32901-6975, USA

    Ravi P. Agarwal

  2. Laboratoire de Mathématiques, Université de Sidi Bel-Abbès, B.P. 89, 22000, Sidi Bel-Abbès, Algérie

    Mouffak Benchohra & Samira Hamani

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  1. Ravi P. Agarwal
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Agarwal, R.P., Benchohra, M. & Hamani, S. A Survey on Existence Results for Boundary Value Problems of Nonlinear Fractional Differential Equations and Inclusions. Acta Appl Math 109, 973–1033 (2010). https://doi.org/10.1007/s10440-008-9356-6

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