Results 31 to 40 of about 1,014 (157)

Analytical Solution of Fractional Order Mathematical Model in the Time of COVID-19 by Fractional Differential Transform Method

INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCH
In this paper, we will discuss an analytical solution and numerical simulation of fractional order mathematical model on COVID-19 under Caputo sense with the help of fractional differential transform method for different values of q, where q ∈ (0,1]. The
A. D. Nagargoje, R. Teppawar
semanticscholar   +1 more source

Existence and Stability Results for a Modified Diffusion Equation Involving Atangana–Baleanu–Caputo Fractional Derivative

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
This article shows another display of the modified diffusion equation of fractional order involving Atangana–Baleanu–Caputo fractional derivative. The manuscript contains three major cases: the existence of a solution, uniqueness of the solution, and Hyers–Ulam stability, which are discussed based on valid theorems in nonlinear analysis.
Maral Sangi, Mohammad Esmael Samei, Arpan Hazra   +2 more
wiley   +1 more source

Fractional virus epidemic model on financial networks

Open Mathematics, 2016
In this study, we present an epidemic model that characterizes the behavior of a financial network of globally operating stock markets. Since the long time series have a global memory effect, we represent our model by using the fractional calculus.
Balci Mehmet Ali
doaj   +1 more source

On local fractional integral inequalities via generalized (h˜1,h˜2)\left({\tilde{h}}_{1},{\tilde{h}}_{2})-preinvexity involving local fractional integral operators with Mittag-Leffler kernel

Demonstratio Mathematica, 2023
Local fractional integral inequalities of Hermite-Hadamard type involving local fractional integral operators with Mittag-Leffler kernel have been previously studied for generalized convexities and preinvexities.
Vivas-Cortez Miguel, Bibi Maria, Muddassar Muhammad, Al-Sa’di Sa’ud   +3 more
doaj   +1 more source

On Hermite-Hadamard type inequalities for Riemann-Liouville fractional integrals

, 2017
In this paper, we have established Hermite-Hadamard-type inequalities for fractional integrals and will be given an identity. With the help of this fractional-type integral identity, we give some integral inequalities connected with the left-side of ...
M. Sarıkaya, H. Yildirim
semanticscholar   +1 more source

A Fractional‐Order Peer Influence Mathematical Model

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
In this article, a fractional‐order mathematical model is used to simulate peer influence using the Liouville–Caputo framework. Our model was made up of four states, which describe friends, negatively behaved friends, parental guidance, and positively behaved friends.
Patience Pokuaa Gambrah, Abdul-Samad Abdul-Rahaman, Gratien Twagirumukiza, Herman Matondo Mananga, Louis Ndinyun Tawam, Arpan Hazra   +5 more
wiley   +1 more source

Positive solutions for Hadamard differential systems with fractional integral conditions on an unbounded domain

Open Mathematics, 2017
In this paper, we investigate the existence of positive solutions for Hadamard type fractional differential system with coupled nonlocal fractional integral boundary conditions on an infinite domain. Our analysis relies on Guo-Krasnoselskii’s and Leggett-
Jessada Tariboon, Ntouyas Sotiris K., Asawasamrit Suphawat, Promsakon Chanon   +3 more
doaj   +1 more source

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

Quantum calculus on finite intervals and applications to impulsive difference equations

, 2013
In this paper we initiate the study of quantum calculus on finite intervals. We define the qk-derivative and qk-integral of a function and prove their basic properties.
J. Tariboon, S. Ntouyas
semanticscholar   +1 more source

Laplace-Carson integral transform for exact solutions of non-integer order initial value problems with Caputo operator

, 2020
Finding the exact solution to dynamical systems in the field of mathematical modeling is extremely important and to achieve this goal, various integral transforms have been developed.
Prem Kumar, S. Qureshi
semanticscholar   +1 more source