Results 11 to 20 of about 868 (169)

Application of fractional quantum calculus on coupled hybrid differential systems within the sequential Caputo fractional q-derivatives

open access: yesDemonstratio Mathematica, 2023
In the current manuscript, we combine the q-fractional integral operator and q-fractional derivative to investigate a coupled hybrid fractional q-differential systems with sequential fractional q-derivatives. The existence and uniqueness of solutions for
Alzabut Jehad   +2 more
doaj   +1 more source

Deformable Laplace transform and its applications

open access: yesNonlinear Engineering, 2023
Recently, the deformable derivative and its properties have been introduced. In this work, we have investigated the concept of deformable Laplace transform (DLT) in more detail. Furthermore, some classical properties of the DLT are also included.
Ahuja Priyanka   +3 more
doaj   +1 more source

On Nonlinear Implicit Neutral Generalized Hilfer Fractional Differential Equations with Terminal Conditions and Delay

open access: yesTopological Algebra and its Applications, 2022
In this paper, we establish the existence of solutions for a class of nonlinear implicit neutral fractional differential equations with terminal condition and Hilfer-Katugampola fractional derivative.
Bouriah Soufyane   +2 more
doaj   +1 more source

Investigation of hybrid fractional q-integro-difference equations supplemented with nonlocal q-integral boundary conditions

open access: yesDemonstratio Mathematica, 2023
In this article, we introduce and study a new class of hybrid fractional qq-integro-difference equations involving Riemann-Liouville qq-derivatives, supplemented with nonlocal boundary conditions containing Riemann-Liouville qq-integrals of different ...
Alsaedi Ahmed   +3 more
doaj   +1 more source

Existence and Ulam-Hyers stability of the implicit fractional boundary value problem with ψ-Caputo fractional derivative

open access: yes, 2020
In this paper, we investigate the existence, uniqueness and Ulam-Hyers stability of solutions for nonlinear implicit fractional differential equations with boundary conditions involving a ψ-Caputo fractional derivative.
Hanan A. Wahash   +2 more
semanticscholar   +1 more source

A new fractional boundary value problem and Lyapunov-type inequality

open access: yesJournal of Mathematical Inequalities, 2021
Throughout this paper, we study a new modified version of fractional boundary value problem (BVP) of the form (a D α y)(t)+ p(t)y′(t)+q(t)y(t) = 0, a < t < b, 2 < α 3, with y(a) = y′(a) = y(b) = 0 , where p ∈C1([a,b]) and q ∈C([a,b]) .
E. Pourhadi, M. Mursaleen
semanticscholar   +1 more source

Oscillation of impulsive conformable fractional differential equations

open access: yesOpen Mathematics, 2016
In this paper, we investigate oscillation results for the solutions of impulsive conformable fractional differential equations of the ...
Tariboon Jessada, Ntouyas Sotiris K.
doaj   +1 more source

Lévy processes linked to the lower-incomplete gamma function [PDF]

open access: yesarXiv, 2021
We start by defining a subordinator by means of the lower-incomplete gamma function. It can be considered as an approximation of the stable subordinator, easier to be handled thank to its finite activity. A tempered version is also considered in order to overcome the drawback of infinite moments.
arxiv  

Coupled system of a fractional order differential equations with weighted initial conditions

open access: yesOpen Mathematics, 2019
Here, a coupled system of nonlinear weighted Cauchy-type problem of a diffre-integral equations of fractional order will be considered. We study the existence of at least one integrable solution of this system by using Schauder fixed point Theorem.
El-Sayed Ahmed M. A.   +1 more
doaj   +1 more source

On Computation of Matrix Mittag-Leffler Function [PDF]

open access: yesBULLETIN OF THE POLISH ACADEMY OF SCIENCES TECHNICAL SCIENCES, Vol. 66, No. 4, 2018, 2017
A method for computation of the matrix Mittag-Leffler function is presented. The method is based on Jordan canonical form and implemented as a Matlab routine.
arxiv   +1 more source

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