Results 41 to 50 of about 1,041 (176)

On the Kolmogorov forward equations within Caputo and Riemann-Liouville fractions derivatives

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016
In this work, we focus on the fractional versions of the well-known Kolmogorov forward equations. We consider the problem in two cases. In case 1, we apply the left Caputo fractional derivatives for α ∈ (0, 1] and in case 2, we use the right Riemann ...
Alipour Mohsen, Baleanu Dumitru
doaj   +1 more source

Unveiling new insights: taming complex local fractional Burger equations with the local fractional Elzaki transform decomposition method

Frontiers Appl. Math. Stat.
This study aims to address the difficulties in solving coupled generalized non-linear Burger equations using local fractional calculus as a framework. The methodology used in this work, particularly in the area of local fractional calculus, combines the ...
Ghaliah Alhamzi, J. G. Prasad, B. Alkahtani, R. S. Dubey   +3 more
semanticscholar   +1 more source

Solvability and Stability of Solutions of (q, τ)‐Fractional Integro‐Differential Models

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we investigate a set of nonlinear (q, τ)‐fractional Fredholm integrodifferential equations that involve memory‐type integral kernels and generalized fractional derivatives. Using a Galerkin technique based on (q, τ)‐Legendre polynomials, we designed an approximation solution and provided a numerical scheme for calculating the integral ...
Shaher Momani, Rabha W. Ibrahim, Dumitru Baleanu, Serbay Duran   +3 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

EXISTENCE AND UNIQUENESS THEOREMS FOR FRACTIONAL VOLTERRA-FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS

International Journal of Apllied Mathematics, 2018
In this article, the homotopy perturbation method has been successfully applied to find the approximate solution of a Caputo fractional Volterra-Fredholm integro-differential equation.
Ahmed A. Hamoud, K. Ghadle, M. Issa, Giniswamy Giniswamy   +3 more
semanticscholar   +1 more source

Solution of Caputo Generalized Bagley–Torvik Equation Using the Tarig Transform

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
A fractional‐order differential equation called the Bagley–Torvik equation describes the behavior of viscoelastic damping. We employed the newly defined Tarig transform in this study to find the analytic solution to the Caputo generalized Bagley–Torvik equation.
Lata Chanchlani, Manisha, D. L. Suthar, S. D. Purohit, Ahmed Saoudi   +4 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

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

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

, 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, Mohammed S Abdo, S. K. Panchal   +2 more
semanticscholar   +1 more source

Visualizing Fractional Integral Inequalities Using Euler’s Beta Function and Extended Convexity

Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.
In this research article, we present various extensions and refinements of Hermite–Hadamard and related fractional integral inequalities by utilizing the unique characteristics of Euler’s beta and extended convex functions. In some of these results, Euler’s beta function is used as a weight function, while in the others, Euler’s incomplete beta ...
Muhammad Imran, Ahsan Mehmood, Shahid Mubeen, Muhammad Samraiz, Gauhar Rahman, Mohammad Sediq Safi, Aliaa Burqan   +6 more
wiley   +1 more source