Results 51 to 60 of about 306,228 (115)
Journal of the Egyptian Mathematical Society, 2017 In this research, we construct the traveling wave solutions for some nonlinear evolution equations in mathematical physics. New solutions such as soliton solutions are found. The method used is the generalized Kudryashov method (GKM). We apply the method
Khaled A. Gepreel +2 more
doaj
A novel fractional structure of a multi-order quantum multi-integro-differential problem
Advances in Difference Equations, 2020 In the present research manuscript, we formulate a new generalized structure of the nonlinear Caputo fractional quantum multi-integro-differential equation in which such a multi-order structure of quantum integrals is considered for the first time.
Nguyen Duc Phuong +3 more
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Journal of Ocean Engineering and Science, 2019 Most fundamental themes in mathematical physics and modern engineering are investigated by the closed form traveling wave solutions of nonlinear evolution equations.
M. Mamun Miah +3 more
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Hybrid functions approach to solve a class of Fredholm and Volterra integro-differential equations
, 2019 In this paper, we use a numerical method that involves hybrid and block-pulse functions to approximate solutions of systems of a class of Fredholm and Volterra integro-differential equations.
Bhalekar, Sachin +2 more
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Existence and Uniqueness of a Fractional Fokker-Planck Equation [PDF]
arXiv, 2020 Stochastic differential equations with Levy motion arise the mathematical models for various phenomenon in geophysical and biochemical sciences. The Fokker Planck equation for such a stochastic differential equations is a nonlocal partial differential equations. We prove the existence and uniqueness of the weak solution for this equation.
arxiv
On a Nonlocal Problem for Mixed-Type Equation with Partial Riemann-Liouville Fractional Derivative
Fractal and Fractional, 2022 The present paper presents a study on a problem with a fractional integro-differentiation operator in the boundary condition for an equation with a partial Riemann-Liouville fractional derivative. The unique solvability of the problem is proved.
Menglibay Ruziev, Rakhimjon Zunnunov
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Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 In this paper the combined three-dimensional non-local boundary value problem with integro-multipoint conditions for loaded volterra-hyperbolic integro-differential equation of Bianchi type is explored.
I. G. Mamedov
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Fractal and FractionalThe main aim of this study is to examine the Hyers–Ulam stability of fractional derivatives in Volterra–Fredholm integro-differential equations using Caputo fractional derivatives.
Govindaswamy Gokulvijay +2 more
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Memoir on Integration of Ordinary Differential [1.2ex] Equations by Quadrature [PDF]
arXiv, 2011 The Riccati equations reducible to first-order linear equations by an appropriate change the dependent variable are singled out. All these equations are integrable by quadrature. A wide class of linear ordinary differential equations reducible to algebraic equations is found. It depends on two arbitrary functions.
arxiv
Transformations between nonlocal and local integrable equations [PDF]
arXiv, 2017 Recently, a number of nonlocal integrable equations, such as the PT-symmetric nonlinear Schrodinger (NLS) equation and PT-symmetric Davey-Stewartson equations, were proposed and studied. Here we show that many of such nonlocal integrable equations can be converted to local integrable equations through simple variable transformations.
arxiv