Results 31 to 40 of about 380 (117)

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

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

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

open access: yesAdvances 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   +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

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

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

A Family of Hybrid Functions Generated by the Composition of Bessel and Mittag–Leffler Functions

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we employ a symbolic technique to introduce a new family of Mittag–Leffler–Bessel functions (MLBFs), formed by compositionally combining the classical Bessel functions of the first kind with the three‐parameter Mittag–Leffler function.
Maged G. Bin-Saad   +2 more
wiley   +1 more source

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

open access: yesDemonstratio 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   +4 more
doaj   +1 more source

Controllability of Fractional Control Systems With Deformable Dynamics in Finite‐Dimensional Spaces

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
In this work, we investigate the controllability of fractional control systems for deformable bodies in finite‐dimensional spaces. To achieve this, we employ a methodology based on the fractional exponential matrix associated with deformable bodies, the controllability Gramian matrix, and an iterative technique.
Boulkhairy Sy, Cheikh Seck, A. M. Nagy
wiley   +1 more source

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