Browsing by Author "Hedayati, Vahid"

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Citation - WoS: 58
Citation - Scopus: 64
On Two Fractional Differential Inclusions
(Springer international Publishing Ag, 2016) Hedayati, Vahid; Rezapour, Shahram; Al Qurashi, Maysaa' Mohamed; Baleanu, Dumitru
We investigate in this manuscript the existence of solution for two fractional differential inclusions. At first we discuss the existence of solution of a class of fractional hybrid differential inclusions. To illustrate our results we present an illustrative example. We study the existence and dimension of the solution set for some fractional differential inclusions.
Citation - WoS: 66
Citation - Scopus: 73
Two Fractional Derivative Inclusion Problems Via Integral Boundary Condition
(Elsevier Science inc, 2015) Baleanu, Dumitru; Hedayati, Vahid; Rezapour, Shahram; Agarwal, Ravi P.
The goal of the manuscript is to analyze the existence of solutions for the Caputo fractional differential inclusion (c)D(q)x(t) is an element of F(t,x(t), (c)D(beta)x(t)) with the boundary value conditions x(0) = 0 and x(1) + x'(1) = integral(eta)(0) x(s)ds, such that 0 < eta < 1, 1 < q <= 2, 0 < beta < 1 and q = beta > 1. Also, we investigate the existence of solutions for the Caputo fractional differential inclusion (c)D(q)x(t) is an element of F(t,x(t)) such that x(0) = a integral(nu)(0) x(s)ds and x(1) = b integral(eta)(0) x(s)ds, where 0 < nu, eta < 1, 1 < q <= 2 and a, b is an element of R. (C) 2014 Elsevier Inc. All rights reserved.