Results 41 to 50 of about 2,468 (141)

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

open access: yesNonlinear 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   +3 more
doaj   +1 more source

On a Singular Value Problem for the Fractional Laplacian on the Exterior of the Unit Ball [PDF]

open access: yes, 2005
2000 Mathematics Subject Classification: Primary 26A33; Secondary 47G20, 31B05We study a singular value problem and the boundary Harnack principle for the fractional Laplacian on the exterior of the unit ...
Bezzarga, Mounir, Kefi, Khaled
core  

New generalization fractional inequalities of Ostrowski-Gr\"uss type

open access: yes, 2012
In this paper, we use the Riemann-Liouville fractional integrals to establish some new integral inequalities of Ostrowski-Gr\"uss type.
Sarikaya, Mehmet Zeki, Yaldiz, Hatice
core   +1 more source

Riemann–Liouville Fractional Calculus of Nonlinear Hidden Variable Recurrent Fractal Interpolation Functions Based on Rakotch Contraction

open access: yesJournal of Function Spaces, Volume 2026, Issue 1, 2026.
In this paper, we study Riemann–Liouville fractional calculus of nonlinear hidden variable recurrent fractal interpolation function (HVRFIF) constructed based on Rakotch contraction, which is a generalization of Banach contraction. First, we prove that Riemann–Liouville fractional integral and derivative of HVRFIF based on Rakotch contraction are also ...
Chung-Il Ro   +4 more
wiley   +1 more source

Fractional virus epidemic model on financial networks

open access: yesOpen 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

Linear Fractional PDE, Uniqueness of Global Solutions [PDF]

open access: yes, 2005
Mathematics Subject Classification: 26A33, 47A60, 30C15.In this paper we treat the question of existence and uniqueness of solutions of linear fractional partial differential equations.
Kempfle, Siegmar   +2 more
core  

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

open access: yesOpen 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   +3 more
doaj   +1 more source

Numerical Investigation of a Fractional Cancer Chemotherapy Effect Model Using the Homotopy Decomposition Method

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
Cancer, a highly aggressive neoplastic disease, has emerged as one of the leading causes of mortality worldwide. Chemotherapy remains one of the most effective therapeutic approaches for inhibiting tumor growth and reducing tumor mass. The main objective of the current work is to provide an in‐depth analysis of the fractional cancer chemotherapy effect
L. K. Yadav   +4 more
wiley   +1 more source

Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions

open access: yesBoundary Value Problems, 2011
This article investigates a boundary value problem of Riemann-Liouville fractional integro-differential equations with fractional nonlocal integral boundary conditions.
Ahmad Bashir, Nieto Juan
doaj  

Existence of a Heteroclinic Solution for a~Double Well Potential Equation in an Infinite Cylinder of ℝN

open access: yesAdvanced Nonlinear Studies, 2019
This paper is concerned with the existence of a heteroclinic solution for the following class of elliptic equations:
Alves Claudianor O.
doaj   +1 more source

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