Numerical Solutions of Ordinary Fractional Differential Equations with Singularities [PDF]
, 2018 BGSiam ...
Dimitrov, Yuri +2 more
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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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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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Fractional Complex Transform and exp-Function Methods for Fractional Differential Equations
Abstract and Applied Analysis, 2013 The exp-function method is presented for finding the exact solutions of nonlinear fractional equations. New solutions are constructed in fractional complex transform to convert fractional differential equations into ordinary differential equations.
Ahmet Bekir +2 more
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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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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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Fractional high order methods for the nonlinear fractional ordinary differential equation [PDF]
Nonlinear Analysis: Theory, Methods & Applications, 2007 The paper begins by referring to applications of fractional order equations, along with a brief summary of the main results achieved for this type of equation in the last decade. The authors consider the nonlinear fractional-order order differential equation (NFOODE), \(_0D_t^\alpha y(t)=f(y,t), (t>0), n ...
Lin, R, Liu, Fawang
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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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Numerical simulation method of lines together with a pseudospectral method for solving space-time partial differential equations with space left- and right-sided fractional derivative [PDF]
Arab Journal of Mathematical Sciences, 2022 Purpose – This study aims to use new formula derived based on the shifted Jacobi functions have been defined and some theorems of the left- and right-sided fractional derivative for them have been presented. Design/methodology/approach – In this article,
Mushtaq Ali +2 more
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Transform of Riccati equation of constant coefficients through fractional procedure [PDF]
, 2003 We use a particular fractional generalization of the ordinary differential equations that we apply to the Riccati equation of constant coefficients. By this means the latter is transformed into a modified Riccati equation with the free term expressed as ...
A L Madue o +8 more
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