Results 11 to 20 of about 2,452 (143)

Some New Application of Extended Wright Function

Abstract and Applied Analysis
MSC2020 Classification: 26A33, 33B15, 33C05, 65D20, 33E20 ...
Pallavi Sharma, Ekta Mittal, D. L. Suthar, Rajni Gupta   +3 more
doaj   +2 more sources

Elzaki Transform Approach to Fractional Kinetic Equations Using Orthogonal Polynomials and Their Generating Functions

Advances in Mathematical Physics
MSC2020 Classification: 26A33, 44A20, 74A25, 33C45 ...
Mulualem Aychluh, D. L. Suthar, S. D. Purohit, Biniyam Shimelis   +3 more
doaj   +2 more sources

Lakshmikantham Monotone Iterative Principle for Hybrid Atangana-Baleanu-Caputo Fractional Differential Equations

Annals of the West University of Timisoara: Mathematics and Computer Science, 2023
In this paper, we study the following fractional differential equation involving the Atangana-Baleanu-Caputo fractional derivative: {ABCaDτθ[x(ϑ)−F(ϑ,x(ϑ))]=G(ϑ,x(ϑ)),    ϑ∈J:=[a,b],x(a)=φa∈ℝ.$$\left\{ {\matrix{ {AB{C_a}D_\tau ^\theta [x(\vartheta ...
Benkhettou Nadia, Salim Abdelkrim, Lazreg Jamal Eddine, Abbas Saïd, Benchohra Mouffak   +4 more
doaj   +1 more source

On the mixed fractional quantum and Hadamard derivatives for impulsive boundary value problems

Open Mathematics, 2021
In this work, we initiate the study of a new class of impulsive boundary value problems consisting of mixed type fractional quantum and Hadamard derivatives.
Niyoom Somboon, Ntouyas Sotiris K., Sudprasert Chayapat, Tariboon Jessada   +3 more
doaj   +1 more source

A comprehensive review on fractional-order optimal control problem and its solution

Open Mathematics, 2023
This article presents a comprehensive literature survey on fractional-order optimal control problems. Fractional-order differential equation is extensively used nowadays to model real-world systems accurately, which exhibit fractal dimensions, memory ...
Abd-Elmonem Assmaa, Banerjee Ramashis, Ahmad Shabir, Jamshed Wasim, Nisar Kottakkaran Sooppy, Eid Mohamed R., Ibrahim Rabha W., El Din Sayed M.   +7 more
doaj   +1 more source

Numeric Fem’s Solution for Space-Time Diffusion Partial Differential Equations with Caputo–Fabrizion and Riemann–Liouville Fractional Order’s Derivatives

Annales Mathematicae Silesianae, 2023
In this paper, we use the finite element method to solve the fractional space-time diffusion equation over finite fields. This equation is obtained from the standard diffusion equation by replacing the first temporal derivative with the new fractional ...
Boutiba Malika, Baghli-Bendimerad Selma, Fečkan Michal   +2 more
doaj   +1 more source

Pell-Lucas polynomials for numerical treatment of the nonlinear fractional-order Duffing equation

Demonstratio Mathematica, 2023
The nonlinear fractional-order cubic-quintic-heptic Duffing problem will be solved through a new numerical approximation technique. The suggested method is based on the Pell-Lucas polynomials’ operational matrix in the fractional and integer orders.
El-Sayed Adel Abd Elaziz
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

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

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