Results 1 to 10 of about 596 (184)

Simulations of fractional time-derivative against proportional time-delay for solving and investigating the generalized perturbed-KdV equation

Nonlinear Engineering, 2023
In this study, the Caputo-type fractional time-derivative is simulated by inserting a proportional time-delay into the field function of the perturbed-KdV equation.
Alquran Marwan, Ali Mohammed, Al-Khaled Kamel, Grossman George   +3 more
doaj   +1 more source

On fractional kinetic equations k-Struve functions based solutions

Alexandria Engineering Journal, 2018
In the present research article, we investigate the solutions for fractional kinetic equations, involving k-Struve functions, some of the salient properties of which we present. The method used is Laplace transform based.
Kottakkaran Sooppy Nisar, Saiful Rahman Mondal, Fethi Bin Muhammad Belgacem   +2 more
doaj   +1 more source

Well-posedness and blow-up results for a class of nonlinear fractional Rayleigh-Stokes problem

Advances in Nonlinear Analysis, 2022
In this article, we consider the fractional Rayleigh-Stokes problem with the nonlinearity term satisfies certain critical conditions. The local existence, uniqueness and continuous dependence upon the initial data of ε\varepsilon -regular mild solutions ...
Wang Jing Na, Alsaedi Ahmed, Ahmad Bashir, Zhou Yong   +3 more
doaj   +1 more source

A certain class of fractional difference equations with damping: Oscillatory properties

Demonstratio Mathematica, 2023
In this study, we have investigated the oscillatory properties of the following fractional difference equation: ∇α+1χ(κ)⋅∇αχ(κ)−p(κ)г(∇αχ(κ))+q(κ)G∑μ=κ−α+1∞(μ−κ−1)(−α)χ(μ)=0,{\nabla }^{\alpha +1}\chi \left(\kappa )\cdot {\nabla }^{\alpha }\chi \left ...
Arundhathi Sivakumar, Alzabut Jehad, Muthulakshmi Velu, Adıgüzel Hakan   +3 more
doaj   +1 more source

A note on fractional difference operators

Alexandria Engineering Journal, 2018
In the present article, following on very recent and new approach of fractional difference operator by Baliarsingh (2016), we establish some new ideas involving the exponent rules of this operator.
P. Baliarsingh, L. Nayak
doaj   +1 more source

Some integral inequalities for generalized left and right log convex interval-valued functions based upon the pseudo-order relation

Demonstratio Mathematica, 2022
It is a well-known fact that inclusion and pseudo-order relations are two different concepts which are defined on the interval spaces, and we can define different types of convexities with the help of both relations.
Khan Muhammad Bilal, Noor Muhammad Aslam, Macías-Díaz Jorge E., Soliman Mohamed S., Zaini Hatim Ghazi   +4 more
doaj   +1 more source

Fractional calculus of generalized p-k-Mittag-Leffler function using Marichev–Saigo–Maeda operators

Arab Journal of Mathematical Sciences, 2019
In this paper, we establish fractional integral and derivative formulas involving the generalized p-k-Mittag-Leffler function by using Marichev–Saigo–Maeda type fractional integral and derivative operators.
M. Kamarujjama, N.U. Khan, Owais Khan
doaj   +1 more source

A new analytical method to simulate the mutual impact of space-time memory indices embedded in (1 + 2)-physical models

Nonlinear Engineering, 2022
In the present article, we geometrically and analytically examine the mutual impact of space-time Caputo derivatives embedded in (1 + 2)-physical models.
Makhadmih Mohammad, Jaradat Imad, Alquran Marwan, Baleanu Dumitru   +3 more
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Generalized Canavati Fractional Ostrowski, Opial and Grüss type inequalities for Banach algebra valued functions

Moroccan Journal of Pure and Applied Analysis, 2022
Using generalized Canavati fractional left and right vectorial Taylor formulae we establish mixed fractional Ostrowski, Opial and Grüss type inequalities involving several Banach algebra valued functions. The estimates are with respect to all norms ‖ · ‖
Anastassiou George A.
doaj   +1 more source

A new class of mixed fractional differential equations with integral boundary conditions

Moroccan Journal of Pure and Applied Analysis, 2021
This paper deals with a new class of mixed fractional differential equations with integral boundary conditions. We show an important equivalence result between our problem and nonlinear integral Fredholm equation of the second kind.
Somia Djiab, Brahim Nouiri
doaj   +1 more source