Papers by Mohammad Esmael Samei
Boundary value problems, Jun 20, 2024
The purpose of this paper is to study a generalized Riemann-Liouville fractional differential equ... more The purpose of this paper is to study a generalized Riemann-Liouville fractional differential equation and system with nonlocal boundary conditions. Firstly, some properties of the Green function are presented and then Lyapunov-type inequalities for a sequential ψ-Riemann-Liouville fractional boundary value problem are established. Also, the existence and uniqueness of solutions are proved by using Banach and Schauder fixed-point theorems. Furthermore, the existence and uniqueness of solutions to a sequential nonlinear differential system is established by means of Schauder's and Perov's fixed-point theorems. Examples are given to validate the theoretical results.
Vojnotehnički glasnik, 2024
Journal of applied mathematics and computing/Journal of Applied Mathematics and Computing. International Journal, May 20, 2024
Computational & Applied Mathematics, Apr 1, 2024
Optical and quantum electronics, Mar 11, 2024
Boundary value problems, Feb 22, 2024
In this work, we analyze a q-fractional jerk problem having anti-periodic boundary conditions. Th... more In this work, we analyze a q-fractional jerk problem having anti-periodic boundary conditions. The focus is on investigating whether a unique solution exists and remains stable under specific conditions. To prove the uniqueness of the solution, we employ a Banach fixed point theorem and a mathematical tool for establishing the presence of distinct fixed points. To demonstrate the availability of a solution, we utilize Leray-Schauder's alternative, a method commonly employed in mathematical analysis. Furthermore, we examine and introduce different kinds of stability concepts for the given problem. In conclusion, we present several examples to illustrate and validate the outcomes of our study.
Results in physics, Jun 1, 2023
Research Square (Research Square), Feb 21, 2023
This article presents the above and below bounds for Midpoint type and Trapezoid type inequalitie... more This article presents the above and below bounds for Midpoint type and Trapezoid type inequalities for ψ-Hilfer fractional integrals with the assistance of the functions whose second derivatives are bounded. We also possess some extensions and generalizations of Hermite-Hadamard inequalities via ψ-Hilfer fractional integrals with the aid of the functions that have the conditions that will said.
Partial differential equations in applied mathematics, Jun 1, 2023
Chaos, Solitons & Fractals
Journal of Mathematical Extension, 2021
The objective of this paper is to investigate, by applying the standard Caputo fractional $q$--de... more The objective of this paper is to investigate, by applying the standard Caputo fractional $q$--derivative of order $\alpha$, the existence of solutions for the singular fractional $q$--integro-differential equation $\mathcal{D}_q^\alpha [k](t) = \Omega (t , k(t), k'(t), \mathcal{D}_q^\beta [k](t), \int_0^t f(r) k(r) \, {\mathrm d}r )$, under some boundary conditions where $\Omega(t, k_1, k_2, k_3, k_4)$ is singular at some point $0 \leq t\leq 1$, on a time scale $\mathbb{T}_{ t_0} = \{ t : t =t_0q^n\}\cup \{0\}$, for $n\in \mathbb{N}$ where $t_0 \in \mathbb{R}$ and $q \in (0,1)$. We consider the compact map and avail the Lebesgue dominated theorem for finding solutions of the addressed problem. Besides, we prove the main results in context of completely continuous functions. Our attention is concentrated on fractional multi-step methods of both implicit and explicit type, for which sufficient existence conditions are investigated. Lastly, we present some examples involving gr...
Applied Mathematics-A Journal of Chinese Universities, 2005
ABSTRACT
Deleted Journal, Dec 4, 2023
Prey-predator models with a refuge effect are particularly significant in ecology. The two common... more Prey-predator models with a refuge effect are particularly significant in ecology. The two common conceptions of refuge in the literature are continual refuge and refuge proportionate to prey. Academics are already paying attention to new types of refuge concepts. Prey-predator interaction has become a prominent issue in recent biomathe-matical studies due to its environmental influence. In this paper, the habitat complexity of a predator-prey model with Hassell-Varley type functional response is considered. For this, we focused our study on the question of existence and uniqueness in Sec. 2. And Sec. 3 is devoted to show a generalized stability. Note that this representation also allows us to generalize the results obtained recently in the literature. In Sec. 4, we have studied the numerical algorithm for the suggested problem. The paper is ended by two examples illustrating our results.
Partial differential equations in applied mathematics, Mar 1, 2024
Qualitative theory of dynamical systems, Feb 17, 2024
Qualitative theory of dynamical systems, Feb 9, 2024
Journal of inequalities and applications, Jan 25, 2024
In this paper, by applying fractional quantum calculus, we study a nonlinear Duffing-type equatio... more In this paper, by applying fractional quantum calculus, we study a nonlinear Duffing-type equation with three sequential fractional q-derivatives. We prove the existence and uniqueness results by using standard fixed-point theorems (Banach and Schaefer fixed-point theorems). We also discuss the Ulam-Hyers and the Ulam-Hyers-Rassias stabilities of the mentioned Duffing problem. Finally, we present an illustrative example and nice application; a Duffing-type oscillator equation with regard to our outcomes.
AIMS mathematics, 2023
In the present article, we set the if and only if conditions for the solutions of the class of ne... more In the present article, we set the if and only if conditions for the solutions of the class of neutral impulsive delay second-order differential equations. We consider two cases when it is non-increasing and non-decreasing for quotient of two positive odd integers. Our main tool is the Lebesgue's dominated convergence theorem. Examples illustrating the applicability of the results are also given, and state an open problem.
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Papers by Mohammad Esmael Samei