Existence results in Banach space for a nonlinear impulsive system
Advances in Difference Equations, 2019 We deal with three important aspects of a generalized impulsive fractional order differential equation (DE) involving a nonlinear p-Laplacian operator: the existence of a solution, the uniqueness and the Hyers–Ulam stability.
Hasib Khan +3 more
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Boundary Value ProblemsThis paper presents and establishes the Chebyshev collocation method, which generates numerical solutions for nonlinear fractional partial differential equations such as the fractional diffusion, wave, and Korteweg–De Vries equations. To obtain the novel
Khaled M. Abdelgaber +3 more
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Hilbert solution, iterative algorithms, convergence theoretical results, and error bound for the fractional Langevin model arising in fluids with Caputo’s independent derivative [PDF]
, 2022 Studying and analyzing the random motion of a particle immersed in a liquid represented in the Langevin fractional model by Caputo’s independent derivative is one of the aims of applied physics.
Omar Abu Arqub +2 more
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Results in Physics, 2021 The generalized ZK-Burgers equation has nonlinear characteristics of the governing equation and helps to understand nonlinear waves in many fluid problems of plasma mediums.
Naeem Faraz +4 more
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Series solution to fractional contact problem using Caputo’s derivative
Open Physics, 2021 In this article, contact problem with fractional derivatives is studied. We use fractional derivative in the sense of Caputo. We deploy penalty function method to degenerate the obstacle problem into a system of fractional boundary value problems (FBVPs).
Rafiq Muhammad +7 more
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Numerical solution of fredholm fractional integro-differential equation with right-sided caputo’s derivative using bernoulli polynomials operational matrix of fractional derivative [PDF]
, 2019 In this article, fractional integro-differential equation (FIDE) of Fredholm type involving right-sided Caputo’s fractional derivative with multi-fractional orders is considered.
Phang, Chang +6 more
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ON THE MODEIFIED CAPUTO’S DERIVATIVE OPERATOR
, 2022 The main subject of this study coincides with the recently adapted methodology in the theory of univalent functions via applications of fractional calculus.
Jamal Salah
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Analytical Solution for the Fractional Partial Differential Equations by Adomian Decomposition and Modified Decomposition Method [PDF]
Engineering and Technology Journal, 2013 In this paper, analytical solution of the fractional partial differential equation has been presented. The algorithm for the analytical solution for this equation is based on Adomian's decomposition and modified decomposition method.
Iman Isho Gorial
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On the existence of mild solutions for nonconvex fractional semilinear differential inclusions
Electronic Journal of Qualitative Theory of Differential Equations, 2012 We establish some Filippov type existence theorems for solutions of fractional semilinear differential inclusions involving Caputo's fractional derivative in Banach spaces.
Aurelian Cernea
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Abstract and Applied Analysis, 2010 The qualitative behavior of a perturbed fractional-order differential equation with Caputo's derivative that differs in initial position and initial time with respect to the unperturbed fractional-order differential equation with Caputo's derivative has ...
Coşkun Yakar
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