Results 21 to 30 of about 692,681 (370)

Large Fractional Linear Type Differential Equations

International Journal of Analysis and Applications, 2023
This paper aims to handle some types of fractional differential equations with a fractional-order values β>1. In particular, we propose a novel analytical solution called an atomic solution for certain fractional linear type differential equations as ...
Ma'mon Abu Hammad, Iqbal Jebril, Roshdi Khalil   +2 more
doaj   +1 more source

Boundary Value Problems of Hadamard Fractional Differential Equations of Variable Order

Symmetry, 2021
A boundary value problem for Hadamard fractional differential equations of variable order is studied. Note the symmetry of a transformation of a system of differential equations is connected with the locally solvability which is the same as the existence
S. Hristova, Amar Benkerrouche, M. S. Souıd, A. Hakem   +3 more
semanticscholar   +1 more source

Coupled systems of fractional equations related to sound propagation: analysis and discussion [PDF]

, 2012
In this note we analyse the propagation of a small density perturbation in a one-dimensional compressible fluid by means of fractional calculus modelling, replacing thus the ordinary time derivative with the Caputo fractional derivative in the ...
Diethelm K., Federico Polito, Fellah Z. E. A., Haubold H. J., Kilbas A. A., Podlubny I., Roberto Garra   +6 more
core   +1 more source

Fractional Differential Equations and Expansions in Fractional Powers

Symmetry, 2023
We use power series with rational exponents to find exact solutions to initial value problems for fractional differential equations. Certain problems that have been previously studied in the literature can be solved in a closed form, and approximate solutions are derived by constructing recursions for the relevant expansion coefficients.
Diego Caratelli, Pierpaolo Natalini, Paolo Emilio Ricci   +2 more
openaire   +3 more sources

On solutions of fractal fractional differential equations

Discrete and Continuous Dynamical Systems. Series A, 2021
New class of differential and integral operators with fractional order and fractal dimension have been introduced very recently and gave birth to new class of differential and integral equations.
A. Atangana, Ali Akgül
semanticscholar   +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
core   +2 more sources

Fractional and Time-Scales Differential Equations [PDF]

Abstract and Applied Analysis, 2014
Resumo indisponível.
Baleanu, Dumitru, Bhrawy, Ali H., Torres, Delfim F. M., Salahshour, Soheil   +3 more
openaire   +4 more sources

Generalized iterative method for the solution of linear and nonlinear fractional differential equations with composite fractional derivative operator

AIMS Mathematics, 2020
In present paper, we introduced generalized iterative method to solve linear and nonlinear fractional differential equations with composite fractional derivative operator.
Krunal B. Kachhia, Jyotindra C. Prajapati   +1 more
doaj   +1 more source

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
doaj   +1 more source

Existence of fractional differential equations

Journal of Mathematical Analysis and Applications, 2005
The authors obtain a sufficient condition for the existence of a solution to a fractional order differential equation. They claim that their result improves previously known results.
Cheng Yu, Guozhu Gao
openaire   +2 more sources