Acta Mathematica Vietnamica

Acta Mathematica Vietnamica

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NEW RESULTS FOR BOUNDARY VALUE PROBLEMS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS WITH NON-SEPARATED BOUNDARY CONDITIONS

BASHIR AHMAD

pp. 659-668

Abstract

In this paper, a boundary value problem of nonlinear fractional differential equations of order $q \in (1, 2]$ with non-separated boundary conditions is studied. Some new existence and uniqueness results are obtained by using Leray-Schauder degree theory and fixed point theorems. Some interesting observations are presented.