Browsing by Author "Etemad, S."

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Criteria for existence of solutions for a Liouville–Caputo boundary value problem via generalized Gronwall’s inequality
(2021) Baleanu, Dumitru; Baleanu, Dumitru; Etemad, S.; Rezapour, S.; 56389
In this research, we first investigate the existence of solutions for a new fractional boundary value problem in the Liouville–Caputo setting with mixed integro-derivative boundary conditions. To do this, Kuratowski’s measure of noncompactness and Sadovskii’s fixed point theorem are our tools to reach this aim. In the sequel, we discuss the continuous dependence of solutions on parameters by means of the generalized Gronwall inequality. Moreover, we consider an inclusion version of the given boundary problem in which we study its existence results by means of the endpoint theory. Finally, we prepare two simulative numerical examples to confirm the validity of the analytical findings.
On a fractional hybrid integro-differential equation with mixed hybrid integral boundary value conditions by using three operators
(2020) Baleanu, Dumitru; Etemad, S.; Rezapour, Sh.; 56389
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. © 2020 Faculty of Engineering, Alexandria University
On the new fractional hybrid boundary value problems with three-point integral hybrid conditions
(Springeropen, 2019) Baleanu, D.; Baleanu, Dumitru; Etemad, S.; Pourrazi, S.; Rezapour, Sh.; 56389
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.