Results 1 to 10 of about 336,429 (288)

Existence and stability of traveling waves in parabolic systems of differential equations with weak diffusion

Karpatsʹkì Matematičnì Publìkacìï, 2022
The aim of the present paper is to investigate of some properties of periodic solutions of a nonlinear autonomous parabolic systems with a periodic condition.
I.I. Klevchuk
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Approximate Methods for Solving Linear and Nonlinear Hypersingular Integral Equations

Axioms, 2020
We propose an iterative projection method for solving linear and nonlinear hypersingular integral equations with non-Riemann integrable functions on the right-hand sides.
Ilya Boykov, Vladimir Roudnev, Alla Boykova   +2 more
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Ulam stability and data dependence for fractional differential equations with Caputo derivative [PDF]

Electronic Journal of Qualitative Theory of Differential Equations, 2011
In this paper, Ulam stability and data dependence for fractional differential equations with Caputo fractional derivative of order $\alpha$ are studied. We present four types of Ulam stability results for the fractional differential equation in the case ...
JinRong Wang, Linli Lv, Yong Zhou
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Ulam–Hyers stability of impulsive integrodifferential equations with Riemann–Liouville boundary conditions

Advances in Difference Equations, 2020
This paper is concerned with a class of impulsive implicit fractional integrodifferential equations having the boundary value problem with mixed Riemann–Liouville fractional integral boundary conditions. We establish some existence and uniqueness results
Akbar Zada, Jehad Alzabut, Hira Waheed, Ioan-Lucian Popa   +3 more
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Approximate Solutions of the Generalized Abel’s Integral Equations Using the Extension Khan’s Homotopy Analysis Transformation Method

Journal of Applied Mathematics, 2015
User friendly algorithm based on the optimal homotopy analysis transform method (OHATM) is proposed to find the approximate solutions to generalized Abel’s integral equations.
Mohamed S. Mohamed, Khaled A. Gepreel, Faisal A. Al-Malki, Maha Al-Humyani   +3 more
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Gaussian estimates for a heat equation on a network

Networks and Heterogeneous Media, 2006
We consider a diffusion problem on a network on whose nodes we impose Dirichlet and generalized, non-local Kirchhoff-type conditions. We prove well-posedness of the associated initial value problem, and we exploit the theory of sub-Markovian and ...
Delio Mugnolo
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Existence and Stability for a Nonlinear Coupled p-Laplacian System of Fractional Differential Equations

Journal of Mathematics, 2021
In this paper, we study the nonlinear coupled system of equations with fractional integral boundary conditions involving the Caputo fractional derivative of orders θ1 and θ2 and Riemann–Liouville derivative of orders ϱ1 and ϱ2 with the p-Laplacian ...
Merfat Basha, Binxiang Dai, Wadhah Al-Sadi   +2 more
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Existence and numerical solutions of a coupled system of integral BVP for fractional differential equations

Advances in Difference Equations, 2018
This paper is devoted to establishing the existence theory for at least one solution to a coupled system of fractional order differential equations (FDEs).
Kamal Shah, Jinrong Wang, Hammad Khalil, Rahmat Ali Khan   +3 more
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Existence and stability results for a coupled multi-term Caputo fractional differential equations

Fixed Point Theory and Algorithms for Sciences and Engineering
In this article, we explore a new class of nonlocal boundary value problems defined by coupled multi-term delay Caputo fractional differential equations along with a multipoint-integral boundary problem.
Gunaseelan Mani, Purushothaman Ganesh, Pandiarajan Ramasamy, Sarah Aljohani, Nabil Mlaiki   +4 more
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Investigating fractal fractional PDEs, electric circuits, and integral inclusions via (ψ,ϕ)-rational type contractions [PDF]

Scientific Reports
The fixed point theory has been generalized mainly in two directions. One is the extension of the spaces, and the other is relaxing and generalizing the contractions. This paper aims to establish novel fixed point results of rational type generalized $$(\
Khaled Aldwoah, Syed Khayyam Shah, Sadam Hussain, Mohammed A. Almalahi, Yagoub A. S. Arko, Manel Hleili   +5 more
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