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Existence of solutions for a class of nonlinear Volterra integro-dynamic equations on time scales [PDF]
Arab Journal of Mathematical SciencesPurposeThis paper encompasses recent developments on a class of nonlinear Volterra integro-dynamic equations on arbitrary time scales. More precisely, we provide some conditions under which the considered equations have at least one, at least two and at ...
Svetlin Georgiev, Youssef N. Raffoul
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Numerical Study of Two-Dimensional Volterra Integral Equations by RDTM and Comparison with DTM
Abstract and Applied Analysis, 2013 The two-dimensional Volterra integral equations are solved using more recent semianalytic method, the reduced differential transform method (the so-called RDTM), and compared with the differential transform method (DTM).
Reza Abazari, Adem Kılıçman
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Non-Associative Structures and Their Applications in Differential Equations
Mathematics, 2023 This article establishes a connection between nonlinear DEs and linear PDEs on the one hand, and non-associative algebra structures on the other. Such a connection simplifies the formulation of many results of DEs and the methods of their solution.
Yakov Krasnov
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A Computational Technique for Solving Three-Dimensional Mixed Volterra–Fredholm Integral Equations
Fractal and Fractional, 2023 In this article, a novel and efficient approach based on Lucas polynomials is introduced for solving three-dimensional mixed Volterra–Fredholm integral equations for the two types (3D-MVFIEK2).
Amr M. S. Mahdy +3 more
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A Simple Approach to Volterra-Fredholm Integral Equations [PDF]
Journal of Applied and Computational Mechanics, 2020 This paper suggests a simple analytical method for Volterra-Fredholm integral equations, the solution process is similar to that by variational-based analytical method, e.g., Ritz method, however, the method requires no establishment of the variational ...
Ji-Huan He
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Exact solutions for the fractional differential equations by using the first integral method
Nonlinear Engineering, 2015 In this paper, we apply the first integral method to study the solutions of the nonlinear fractional modified Benjamin-Bona-Mahony equation, the nonlinear fractional modified Zakharov-Kuznetsov equation and the nonlinear fractional Whitham-Broer-
Aminikhah Hossein +2 more
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Advances in Mathematical Physics, 2023 In this study, the Fredholm hypersingular integral equation of the first kind with a singular right-hand function on the interval −1,1 is solved. The discontinuous solution on the domain −1,1 is approximated by a piecewise polynomial, and a collocation ...
M. R. Elahi +3 more
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Positive Solutions for Coupled Nonlinear Fractional Differential Equations
Journal of Applied Mathematics, 2014 We consider the existence of positive solutions for a coupled system of nonlinear fractional differential equations with integral boundary values. Assume the nonlinear term is superlinear in one equation and sublinear in the other equation.
Wenning Liu, Xingjie Yan, Wei Qi
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A New Higher-Order Iterative Scheme for the Solutions of Nonlinear Systems
Mathematics, 2020 Many real-life problems can be reduced to scalar and vectorial nonlinear equations by using mathematical modeling. In this paper, we introduce a new iterative family of the sixth-order for a system of nonlinear equations. In addition, we present analyses
Ramandeep Behl, Ioannis K. Argyros
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Journal of Function Spaces, 2021 This paper is aimed at proving some unique common fixed point theorems by using the compatible and weakly-compatible four self-mappings in fuzzy cone metric (FCM) space.
Saif Ur Rehman +3 more
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