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Boundary Value Problems of Hadamard-Type Fractional Differential Equations and Inclusions with Nonlocal Conditions
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Boundary Value Problems of Hadamard-Type Fractional Differential Equations and Inclusions with Nonlocal Conditions

Bashir Ahmad and Sotiris K. Ntouyas
Vietnam journal of mathematics, Vol.45(3), pp.409-423
01/09/2017

Abstract

Article general Mathematics Mathematics and Statistics
In this paper, we obtain some new existence and uniqueness results for boundary value problems of Hadamard type fractional differential equations and inclusions with nonlocal boundary conditions. The contraction mapping principle and a fixed point theorem due to O’Regan are the main tools of our study for the single-valued case, while the multi-valued case is based on the nonlinear alternative for contractive maps. The results are well illustrated with the aid of examples.

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