Results 1 to 10 of about 9,528 (243)

On the Solutions Fractional Riccati Differential Equation with Modified Riemann-Liouville Derivative [PDF]

International Journal of Differential Equations, 2012
Fractional variational iteration method (FVIM) is performed to give an approximate analytical solution of nonlinear fractional Riccati differential equation. Fractional derivatives are described in the Riemann-Liouville derivative.
Mehmet Merdan
doaj   +6 more sources

Numerical approach of riemann-liouville fractional derivative operator

International Journal of Electrical and Computer Engineering (IJECE), 2021
This article introduces some new straightforward and yet powerful formulas in the form of series solutions together with their residual errors for approximating the Riemann-Liouville fractional derivative operator. These formulas are derived by utilizing
Ramzi B. Albadarneh, I. Batiha, Ahmad Adwai, N. Tahat, A. Alomari   +4 more
semanticscholar   +4 more sources

The Nehari manifold for a boundary value problem involving Riemann–Liouville fractional derivative [PDF]

Advances in Differential Equations, 2018
We aim to investigate the following nonlinear boundary value problems of fractional differential equations: (Pλ){−tD1α(|0Dtα(u(t))|p−20Dtαu(t))=f(t,u(t))+λg(t)|u(t)|q−2u(t)(t∈(0,1)),u(0)=u(1)=0, $$\begin{aligned} (\mathrm{P}_{\lambda}) \left ...
K. Saoudi, P. Agarwal, Poom Kumam, A. Ghanmi, P. Thounthong   +4 more
semanticscholar   +2 more sources

Fractional input stability for electrical circuits described by the Riemann-Liouville and the Caputo fractional derivatives

AIMS Mathematics, 2019
The fractional input stability of the electrical circuit equations described by the fractional derivative operators has been investigated. The Riemann-Liouville and the Caputo fractional derivative operators have been used.
Ndolane Sene
doaj   +2 more sources

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

, 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   +2 more sources

The existence of an extremal solution to a nonlinear system with the right-handed Riemann-Liouville fractional derivative

Applied Mathematics Letters, 2014
Lihong Zhang, B. Ahmad, Guotao Wang
semanticscholar   +2 more sources

Ulam-Hyers-Rassias Stability of Nonlinear Differential Equations with Riemann-Liouville Fractional Derivative

Journal of Function Spaces, 2022
Fractional derivatives are used to model the transmission of many real world problems like COVID-19. It is always hard to find analytical solutions for such models. Thus, approximate solutions are of interest in many interesting applications.
El-sayed El-hady, A. B. Ben Makhlouf, S. Boulaaras, Lassaad Mchiri   +3 more
semanticscholar   +1 more source

Inequalities for Riemann–Liouville-Type Fractional Derivatives of Convex Lyapunov Functions and Applications to Stability Theory

Mathematics, 2023
In recent years, various qualitative investigations of the properties of differential equations with different types of generalizations of Riemann–Liouville fractional derivatives were studied and stability properties were investigated, usually using ...
Ravi P. Agarwal, Snezhana Hristova, Donal O’Regan   +2 more
doaj   +1 more source

The Mittag–Leffler Functions for a Class of First-Order Fractional Initial Value Problems: Dual Solution via Riemann–Liouville Fractional Derivative

Fractal and Fractional, 2022
In this paper, a new approach is developed to solve a class of first-order fractional initial value problems. The present class is of practical interest in engineering science. The results are based on the Riemann–Liouville fractional derivative.
Abdelhalim Ebaid, H. K. Al-Jeaid
semanticscholar   +1 more source

Lipschitz Stability in Time for Riemann–Liouville Fractional Differential Equations

Fractal and Fractional, 2021
A system of nonlinear fractional differential equations with the Riemann–Liouville fractional derivative is considered. Lipschitz stability in time for the studied equations is defined and studied.
Snezhana Hristova, Stepan Tersian, Radoslava Terzieva   +2 more
doaj   +1 more source