Browsing by Author "Samei, Mohammad Esmael"

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Citation - WoS: 2
Citation - Scopus: 2
An increasing variables singular system of fractional q-differential equations via numerical calculations
(Springer, 2020) Samei, Mohammad Esmael; Baleanu, Dumitru; Baleanu, Dumitru; Rezapour, Shahram; 56389; Matematik
We investigate the existence of solutions for an increasing variables singular m-dimensional system of fractional q-differential equations on a time scale. In this singular system, the first equation has two variables and the number of variables increases permanently. By using some fixed point results, we study the singular system under some different conditions. Also, we provide two examples involving practical algorithms, numerical tables, and some figures to illustrate our main results.
Citation - WoS: 29
Citation - Scopus: 30
Existence, uniqueness and stability analysis of a coupled fractional-order differential systems involving Hadamard derivatives and associated with multi-point boundary conditions
(Springer, 2021) Alzabut, Jehad; Subramanian, Muthaiah; Alzabut, Jehad; Baleanu, Dumitru; Baleanu, Dumitru; Samei, Mohammad Esmael; Zada, Akbar; 56389; Matematik
In this paper, we examine the consequences of existence, uniqueness and stability of a multi-point boundary value problem defined by a system of coupled fractional differential equations involving Hadamard derivatives. To prove the existence and uniqueness, we use the techniques of fixed point theory. Stability of Hyers-Ulam type is also discussed. Furthermore, we investigate variations of the problem in the context of different boundary conditions. The current results are verified by illustrative examples.