Browsing by Author "Rezapour, Sh."

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Citation - WoS: 96
Citation - Scopus: 103
On a fractional hybrid integro-differential equation with mixed hybrid integral boundary value conditions by using three operators
(Elsevier, 2020) Baleanu, D.; Etemad, S.; Rezapour, Sh.; 56389; Matematik
We investigate the existence of solutions for a fractional hybrid integro-differential equation with mixed hybrid integral boundary value conditions. In this way, we use a generalization of the hybrid Dhage's fixed point result for sum of three fractional operators. Finally, we give an example to illustrate our main result. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.
Citation - WoS: 80
Citation - Scopus: 87
On the new fractional hybrid boundary value problems with three-point integral hybrid conditions
(Springeropen, 2019) Baleanu, D.; Etemad, S.; Pourrazi, S.; Rezapour, Sh.; 56389; Matematik
We investigate some new class of hybrid type fractional differential equations and inclusions via some nonlocal three-point boundary value conditions. Also, we provide some examples to illustrate our results.
Citation - WoS: 26
Citation - Scopus: 32
Positive Solutions of An Initial Value Problem for Nonlinear Fractional Differential Equations
(Hindawi Publishing Corporation, 2012) Baleanu, D.; Mohammadi, H.; Rezapour, Sh.; 56389; Matematik
We investigate the existence and multiplicity of positive solutions for the nonlinear fractional differential equation initial value problem D(0+)(alpha)u(t) + D(0+)(beta)u(t) = f(t, u(t)), u(0) = 0, 0 < t < 1, where 0 < beta < alpha < 1, D-0+(alpha) is the standard Riemann-Liouville differentiation and f : [0,1] x [0,infinity) -> [0,infinity) is continuous. By using some fixed-point results on cones, some existence and multiplicity results of positive solutions are obtained.