Search Results - "Abdo, Mohammed S."
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1
Analytical Investigation of Noyes–Field Model for Time-Fractional Belousov–Zhabotinsky Reaction
Published in Complexity (New York, N.Y.) (2021)“…In this article, we find the solution of time-fractional Belousov–Zhabotinskii reaction by implementing two well-known analytical techniques. The proposed…”
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2
Study of transmission dynamics of COVID-19 mathematical model under ABC fractional order derivative
Published in Results in physics (01-12-2020)“…The current research work is devoted to address some results related to the existence and stability as well as numerical finding of a novel Coronavirus disease…”
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3
Novel Investigation of Fractional-Order Cauchy-Reaction Diffusion Equation Involving Caputo-Fabrizio Operator
Published in Journal of function spaces (2022)“…In this article, the new iterative transform technique and homotopy perturbation transform method are applied to calculate the fractional-order Cauchy-reaction…”
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4
On fractional boundary value problems involving fractional derivatives with Mittag-Leffler kernel and nonlinear integral conditions
Published in Advances in difference equations (07-01-2021)“…In this paper, we consider two classes of boundary value problems for nonlinear implicit differential equations with nonlinear integral conditions involving…”
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5
Existence theory and numerical analysis of three species prey–predator model under Mittag-Leffler power law
Published in Advances in difference equations (27-05-2020)“…In this manuscript, the fractional Atangana–Baleanu–Caputo model of prey and predator is studied theoretically and numerically. The existence and Ulam–Hyers…”
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6
Study of impulsive problems under Mittag-Leffler power law
Published in Heliyon (01-10-2020)“…This article is fundamentally concerned with deriving the solution formula, existence, and uniqueness of solutions of two types of Cauchy problems for…”
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7
Existence and Ulam stability results of a coupled system for terminal value problems involving ψ-Hilfer fractional operator
Published in Advances in difference equations (25-06-2020)“…The work reported in this paper deals with the study of a coupled system for fractional terminal value problems involving ψ -Hilfer fractional derivative. The…”
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8
Fractal-fractional mathematical modeling and forecasting of new cases and deaths of COVID-19 epidemic outbreaks in India
Published in Results in physics (01-01-2021)“…Fractional-order derivative-based modeling is very significant to describe real-world problems with forecasting and analyze the realistic situation of the…”
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9
Theoretical and numerical analysis for transmission dynamics of COVID-19 mathematical model involving Caputo–Fabrizio derivative
Published in Advances in difference equations (24-03-2021)“…This manuscript is devoted to a study of the existence and uniqueness of solutions to a mathematical model addressing the transmission dynamics of the…”
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10
On nonlinear pantograph fractional differential equations with Atangana–Baleanu–Caputo derivative
Published in Advances in difference equations (21-01-2021)“…In this paper, we obtain sufficient conditions for the existence and uniqueness results of the pantograph fractional differential equations (FDEs) with…”
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11
Unique Common Fixed Points for Expansive Maps
Published in International journal of mathematics and mathematical sciences (2023)“…In this work, we establish three common fixed point results for expansive maps satisfying implicit relations in metric and dislocated metric spaces. We do this…”
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12
Existence Theorems for Hybrid Fractional Differential Equations with ψ-Weighted Caputo–Fabrizio Derivatives
Published in Journal of mathematics (Hidawi) (2023)“…In this study, two classes of hybrid boundary value problems involving ψ-weighted Caputo–Fabrizio fractional derivatives are considered. Based on the…”
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13
Nonlocal and multiple-point fractional boundary value problem in the frame of a generalized Hilfer derivative
Published in Advances in difference equations (15-06-2021)“…The aim of this manuscript is to handle the nonlocal boundary value problem for a specific kind of nonlinear fractional differential equations involving a ξ…”
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14
FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS AND Ψ–HILFER FRACTIONAL DERIVATIVE
Published in Mathematical modelling and analysis (25-10-2019)“…Considering a fractional integro-differential equation with nonlocal conditions involving a general form of Hilfer fractional derivative with respect to…”
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15
Existence results for nonlinear neutral generalized Caputo fractional differential equations
Published in Journal of pseudo-differential operators and applications (01-06-2021)“…This paper is devoted to proving some existence and uniqueness of solutions to a category of boundary value problems for a nonlinear neutral generalized Caputo…”
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16
Further results on existence of positive solutions of generalized fractional boundary value problems
Published in Advances in difference equations (23-10-2020)“…This paper studies two classes of boundary value problems within the generalized Caputo fractional operators. By applying the fixed point result of α - ϕ…”
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17
Nonlocal Hybrid Integro-Differential Equations Involving Atangana–Baleanu Fractional Operators
Published in Journal of mathematics (Hidawi) (2023)“…In this study, we develop a theory for the nonlocal hybrid boundary value problem for the fractional integro-differential equations featuring Atangana–Baleanu…”
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18
Nonlinear Piecewise Caputo Fractional Pantograph System with Respect to Another Function
Published in Fractal and fractional (01-02-2023)“…The existence, uniqueness, and various forms of Ulam–Hyers (UH)-type stability results for nonlocal pantograph equations are developed and extended in this…”
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19
Qualitative Study on Solutions of Piecewise Nonlocal Implicit Fractional Differential Equations
Published in Journal of function spaces (2023)“…In this paper, we investigate new types of nonlocal implicit problems involving piecewise Caputo fractional operators. The existence and uniqueness results are…”
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20
Conformable Fractional-Order Modeling and Analysis of HIV/AIDS Transmission Dynamics
Published in International journal of differential equations (12-03-2024)“…The mathematical model of the dynamics of HIV/AIDS infection transmission is developed by adding the set of infected but noninfectious persons, using a…”
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