Results 21 to 30 of about 5,172 (299)
NUMERICAL SOLUTION OF A LINEAR SYSTEM WITH A FRACTIONAL POWER [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2013 We investigate numerical solutions of linear ordinary and partial differential equations. Cauchy’s problem for ordinary equations of first and second order are generalized with fractional power of finite operator.
I.A. Il’in +2 more
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Numerical Solutions of Ordinary Fractional Differential Equations with Singularities [PDF]
, 2018 BGSiam ...
Dimitrov, Yuri +2 more
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Improved ()-Expansion Method for the Space and Time Fractional Foam Drainage and KdV Equations
Abstract and Applied Analysis, 2013 The fractional complex transformation is used to transform nonlinear partial differential equations to nonlinear ordinary differential equations. The improved ()-expansion method is suggested to solve the space and time fractional foam drainage and KdV ...
Ali Akgül +2 more
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Journal of Applied Mathematics, 2014 Based on Jumarie’s modified Riemann-Liouville derivative, the fractional complex transformation is used to transform fractional differential equations to ordinary differential equations.
Wei Li, Huizhang Yang, Bin He
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The Use of Fractional B‐Splines Wavelets in Multiterms Fractional Ordinary Differential Equations [PDF]
International Journal of Differential Equations, 2009 We discuss the existence and uniqueness of the solutions of the nonhomogeneous linear differential equations of arbitrary positive real order by using the fractional B‐Splines wavelets and the Mittag‐Leffler function. The differential operators are taken in the Riemann‐Liouville sense and the initial values are zeros.
Huang, X., Lu, X.
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Fractional Power Series Method for Solving Fractional Differential Equations
, 2022 : Based on Jumarie type of Riemann-Liouville (R-L) fractional derivative, this paper provides some examples to illustrate how to use fractional power series to solve fractional differential equations.
Chii-Huei Yu
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On the solution of some simple fractional differential equations
International Journal of Mathematics and Mathematical Sciences, 1990 The differintegration or fractional derivative of complex order ν, is a generalization of the ordinary concept of derivative of order n, from positive integer ν=n to complex values of ν, including also, for ν=−n a negative integer, the ordinary n-th ...
L. M. B. C. Campos
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Partial Differential Equations in Applied Mathematics, 2023 Many applications and natural phenomena in the fields of physics and engineering are described by ordinary and partial differential equations. Therefore, obtaining solutions to these equations helps to analyze and understand the dynamics of these systems,
Marwan Alquran
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Asymptotic stability of solutions of nonlinear fractional differential equations of order 1 < α < 2
上海师范大学学报. 自然科学版, 2015 This paper is mainly concerned with the asymptotic stability of the solutions of a class of nonlinear fractional differential equations of order 1 < α < 2 in a weighted Banach space.
GE Fudong, KOU Chunhai
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Exact solutions of conformable fractional differential equations
Results in Physics, 2021 This article is about to formulate exact solutions of the time fractional Dodd-Bullough-Mikhailov (DBM) equation, Sinh-Gordon equation and Liouville equation by utilizing simplest equation method (SEM) in conformable fractional derivative (CFD) sense ...
Haleh Tajadodi +5 more
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