Results 31 to 40 of about 760,461 (313)

Exact Solutions of the Space-Time Fractional Bidirectional Wave Equations Using the (G′/G)-Expansion Method

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
doaj   +1 more source

Investigation to analytic solutions of modified conformable time–space fractional mixed partial differential equations

Partial Differential Equations in Applied Mathematics, 2022
In this paper, the invariant subspace method (ISM) is developed to obtain the exact solution of linear and nonlinear time and space fractional mixed partial differential equations involving modified conformable fractional derivative (MCFD). Moreover, the
Chavda Divyesh Vinodbhai, Shruti Dubey
doaj   +1 more source

Wavelets operational methods for fractional differential equations and systems of fractional differential equations [PDF]

, 2017
In this thesis, new and effective operational methods based on polynomials and wavelets for the solutions of FDEs and systems of FDEs are developed.
A. H. Al-Bagawi, A. H. Al-Bagawi, Abdo Alkhadhera, Sadeq Abdullah, Abdul Kadir, Aeslina, Al-Gheethi, Adel, M. Magam, Sami, Masood, Najat, Suratman, Suhaimi, Y. A. Alanazid, Tahani, Zakaria, Mohamad Pauzi   +8 more
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Shifted ultraspherical pseudo-Galerkin method for approximating the solutions of some types of ordinary fractional problems

Advances in Difference Equations, 2021
In this work, a technique for finding approximate solutions for ordinary fraction differential equations (OFDEs) of any order has been proposed. The method is a hybrid between Galerkin and collocation methods.
Mohamed Abdelhakem, Doha Mahmoud, Dumitru Baleanu, Mamdouh El-kady   +3 more
doaj   +1 more source

On fraction order modeling and control of dynamical systems [PDF]

, 2009
This paper demonstrates the feasibility of modeling any dynamical system using a set of fractional order di®erential equations, including distributed and lumped systems.
Kahalil, Islam, Naskali, Ahmet Teoman, Sabanovic, Asif, Şabanoviç, Asif   +3 more
core   +1 more source

A review on variable-order fractional differential equations: mathematical foundations, physical models, numerical methods and applications

Fractional Calculus and Applied Analysis, 2019
Variable-order (VO) fractional differential equations (FDEs) with a time (t), space (x) or other variables dependent order have been successfully applied to investigate time and/or space dependent dynamics.
Hongguang Sun, A. Chang, Yong Zhang, Wen Chen   +3 more
semanticscholar   +1 more source

Applications of General Residual Power Series Method to Differential Equations with Variable Coefficients

Discrete Dynamics in Nature and Society, 2018
This paper is devoted to studying the analytical series solutions for the differential equations with variable coefficients. By a general residual power series method, we construct the approximate analytical series solutions for differential equations ...
Bochao Chen, Li Qin, Fei Xu, Jian Zu
doaj   +1 more source

Solutions of Fractional Differential Type Equations by Fixed Point Techniques for Multivalued Contractions

Complexity, 2021
This paper involves extended b−metric versions of a fractional differential equation, a system of fractional differential equations and two-dimensional (2D) linear Fredholm integral equations. By various given hypotheses, exciting results are established
Hasanen A. Hammad, Hassen Aydi, Manuel De la Sen   +2 more
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Approximate analytical solutions and applications of pantograph-type equations with Caputo derivative and variable orders

Applied Mathematics in Science and Engineering, 2023
This study presents an efficient method that is suitable for differential equations, both with integer-order and fractional derivatives. This study examines the construction of solutions of fractional differential equations that are associated with ...
M.O. Aibinu, E. Momoniat
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Applications of Fractional Differentiation Matrices in Solving Caputo Fractional Differential Equations

Fractal and Fractional, 2023
This paper pursues obtaining Jacobi spectral collocation methods to solve Caputo fractional differential equations numerically. We used the shifted Jacobi–Gauss–Lobatto or Jacobi–Gauss–Radau quadrature nodes as the collocation points and derived the ...
Zhongshu Wu, Xinxia Zhang, Jihan Wang, Xiaoyan Zeng   +3 more
doaj   +1 more source