Results 81 to 90 of about 20,246 (185)

Integral Transforms Method to Solve a Time-Space Fractional Diffusion Equation [PDF]

, 2010
Mathematical Subject Classification 2010: 35R11, 42A38, 26A33, 33E12.The method of integral transforms based on using a fractional generalization of the Fourier transform and the classical Laplace transform is applied for solving Cauchy-type problem for ...
Boyadjiev, Lyubomir, Nikolova, Yanka
core  

A study of forced oscillations via Hilfer fractional derivative

CQD Revista Eletrônica Paulista de Matemática, 2022
The present study seeks to understand the forced oscillations through modeling via fractional differential equation, using the derivative according to Hilfer and representing the external force as a succession of delta Dirac functions.
Silas de Sá Cavalcanti Melo, Edmundo Capelas de Oliveira   +1 more
doaj  

Euler–Lagrange equations for variational problems involving the Riesz–Hilfer fractional derivative

Journal of Taibah University for Science, 2020
In this paper, we obtain the Euler-Lagrange equations for different kind of variational problems with the Lagrangian function containing the Riesz-Hilfer fractional derivative.
A. G. Ibrahim, A. A. Elmandouh
doaj   +1 more source

Generalized fractional derivatives and fourier transforms in tempered distributions with applications

Networks and Heterogeneous Media
The purpose of this paper is to define and prove that the Riemann–Liouville and Caputo fractional derivatives can be computed for tempered distributions, such that the fractional derivative of a tempered distribution remains a tempered distribution.
Amin Benaissa Cherif, Fatima Zohra Ladrani, Dalal Alhwikem, Ahmed Hammoudi, Khaled Zennir, Keltoum Bouhali   +5 more
doaj   +1 more source

On Generalized Composite Fractional Derivative

Walailak Journal of Science and Technology, 2014
In the present paper, we define a generalized composite fractional derivative and obtain results, which include the image of power function, Laplace transform and composition of Riemann-Liouville fractional integral with the generalized composite ...
Mridula GARG, Pratibha MANOHAR, Lata CHANCHALANI, Subhash ALHA   +3 more
doaj   +1 more source

Anti-periodic boundary value problems of fractional differential equations with the Riemann-Liouville fractional derivative

, 2013
In this paper, the author puts forward a kind of anti-periodic boundary value problems of fractional equations with the Riemann-Liouville fractional derivative. More precisely, the author is concerned with the following fractional equation: D0+αu(t)=f(t,
G. Chai
semanticscholar   +1 more source

On the Qualitative Analysis of Solutions of Two Fractional Order Fractional Differential Equations

Mathematics
In applied sciences, besides the importance of obtaining the analytical solutions of differential equations with constant coefficients, the qualitative analysis of the solutions of such equations is also very important.
Yasar Bolat, Murat Gevgeşoğlu, George E. Chatzarakis   +2 more
doaj   +1 more source

Fractional fundamental lemma and fractional integration by parts formula -- Applications to critical points of Bolza functionals and to linear boundary value problems

, 2015
In the first part of the paper, we prove a fractional fundamental (du Bois-Reymond) lemma and a fractional variant of the integration by parts formula. The proof of the second result is based on an integral representation of functions possessing Riemann ...
Bourdin, Loïc, Idczak, Dariusz
core   +1 more source

Analysis and numerical solution of a Riemann-Liouville fractional derivative two-point boundary value problem

Advances in Computational Mathematics, 2017
N. Kopteva, M. Stynes
semanticscholar   +1 more source

A q-fractional approach to the regular Sturm-Liouville problems

Electronic Journal of Differential Equations, 2017
In this article, we study the regular $q$-fractional Sturm-Liouville problems that include the right-sided Caputo q-fractional derivative and the left-sided Riemann-Liouville q-fractional derivative of the same order, $\alpha \in (0,1)$.
Maryam A. AL-Towailb
doaj