Results 11 to 20 of about 20,476 (286)

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   +3 more sources

Generalized Extended Riemann-Liouville type fractional derivative operator [PDF]

Kragujevac Journal of Mathematics, 2019
In this paper, we present new extensions of incomplete gamma, beta, Gauss hypergeometric, confluent hypergeometric function and Appell-Lauricella hypergeometric functions, by using the extended Bessel function due to Boudjelkha [?]. Some recurrence relations, transformation formulas, Mellin transform and integral representations are obtained for these ...
Hafida Abbas, Abdelhalim Azzouz, Mohamed Belmekki   +2 more
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The Riemann–Liouville fractional derivative for Ambartsumian equation

Results in Physics, 2020
La ecuación de Ambartsumian, basada en la derivada fraccionaria modificada de Riemann–Liouville, se analiza en este trabajo. La solución se expresa como una serie de potencias de potencias arbitrarias y se ha comprobado su convergencia. Además, mostramos que la presente solución se reduce a los resultados en la literatura cuando la derivada ...
E. R. El-Zahar, A. Alotaibi, Abdelhalim Ebaid, A. F. Aljohani, J.F. Gómez Aguilar   +4 more
semanticscholar   +3 more sources

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

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. Ben Makhlouf, S. Boulaaras, Lassaad Mchiri   +3 more
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

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.
Frederico, Gastao S. F., Torres, Delfim F. M.   +1 more
openaire   +2 more sources

Fractional Sobolev Spaces via Riemann-Liouville Derivatives [PDF]

Journal of Function Spaces and Applications, 2013
Using Riemann-Liouville derivatives, we introduce fractional Sobolev spaces, characterize them, define weak fractional derivatives, and show that they coincide with the Riemann-Liouville ones. Next, we prove equivalence of some norms in the introduced spaces and derive their completeness, reflexivity, separability, and compactness of some imbeddings ...
Dariusz Idczak, Stanisław Walczak
openaire   +3 more sources

Cauchy problem for the equations with fractional of Riemann-Liouville derivatives

Doklady of the National Academy of Sciences of Belarus, 2020
Summary: In this article, we study the question of the solvability of an analogue of the Cauchy problem for ordinary differential equations with fractional Riemann-Liouville derivatives on the unbounded right-hand side in certain function spaces. The solvability conditions of the problem under consideration in given function spaces, as well as the ...
Zabreĭko, Petr P., Ponomareva, Svetlana Vladimirovna   +1 more
openaire   +3 more sources