Results 11 to 20 of about 4,114 (261)
Effects of the ARA transform method for time fractional problems [PDF]
Mathematica Moravica, 2022 The aim of this study is to establish the solutions of time fractional mathematical problems with the aid of new integral transforms called the ARA transform. The fractional derivative is taken in the sense of Liouville-Caputo derivative.
Çetınkaya Süleyman, Demir Ali
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Open Physics, 2020 The present paper applies the variation of (G′/G)(G^{\prime} /G)-expansion method on the space-time fractional Hirota–Satsuma coupled KdV equation with applications in physics. We employ the new approach to receive some closed form wave solutions for any
Alam Md Nur +2 more
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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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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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