Results 21 to 30 of about 19,827 (284)

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

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

Applied Mathematics Letters, 2014
Lihong Zhang, Bashir Ahmad, Guotao Wang
openalex   +2 more sources

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

Application of Riemann–Liouville Derivatives on Second-Order Fractional Differential Equations: The Exact Solution

Fractal and Fractional, 2023
This paper applies two different types of Riemann–Liouville derivatives to solve fractional differential equations of second order. Basically, the properties of the Riemann–Liouville fractional derivative depend mainly on the lower bound of the integral ...
Abdulrahman B. Albidah
doaj   +1 more source

Integral presentations of the solution of a boundary value problem for impulsive fractional integro-differential equations with Riemann-Liouville derivatives

AIMS Mathematics, 2022
Riemann-Liouville fractional differential equations with impulses are useful in modeling the dynamics of many real world problems. It is very important that there are good and consistent theoretical proofs and meaningful results for appropriate problems.
Ravi Agarwal , Snezhana Hristova, Donal O'Regan   +2 more
doaj   +1 more source

Fractional Noether's theorem with classical and Riemann-Liouville derivatives [PDF]

2012 IEEE 51st IEEE Conference on Decision and Control (CDC), 2012
This is a preprint of a paper whose final and definite form will be published in: 51st IEEE Conference on Decision and Control, December 10-13, 2012, Maui, Hawaii, USA. Article Source/Identifier: PLZ-CDC12.1832.45c07804. Submitted 08-March-2012; accepted 17-July-2012.
Gastao S. F. Frederico, Delfim F. M. Torres   +1 more
openaire   +4 more sources

On a Nonlocal Problem for Mixed-Type Equation with Partial Riemann-Liouville Fractional Derivative

Fractal and Fractional, 2022
The present paper presents a study on a problem with a fractional integro-differentiation operator in the boundary condition for an equation with a partial Riemann-Liouville fractional derivative. The unique solvability of the problem is proved.
M. Ruziev, R. Zunnunov
semanticscholar   +1 more source

On Conformable, Riemann-Liouville, and Caputo fractional derivatives [PDF]

, 2022
This article compares conformable fractional Derivative with Riemann-Liouville and Caputo fractional derivative by comparing solutions to fractional ordinary differential equations involving the three fractional derivatives via the numerical simulations ...
Andini, Leony Rhesmafiski, Guswanto, Bambang Hendriya, Triyani, Triyani   +2 more
core   +2 more sources

A new Definition of Fractional Derivative and Fractional Integral [PDF]

Kirkuk Journal of Science, 2018
In this paper, we introduce three different definitions of fractional derivatives, namely Riemann-Liouville derivative, Caputo derivative and the new formula Caputo expansion formula, and some basics properties of these derivatives are discussed.
Ahmed M. Kareem
doaj   +1 more source