Results 81 to 90 of about 623 (167)

On Solutions of the Nonlocal Generalized Coupled Langevin‐Type Pantograph Systems

Journal of Mathematics, Volume 2025, Issue 1, 2025.
This paper concentrates on the analysis of a category of coupled Langevin‐type pantograph differential equations involving the generalized Caputo fractional derivative with nonlocal conditions. We conduct this analysis in two cases for the second member in the nonlinear function; in other words, for the real space R and an abstract Banach space Θ.
Houari Bouzid, Abdelkader Benali, Abdelkrim Salim, Reny George, Sina Etemad, Guotao Wang   +5 more
wiley   +1 more source

The non-uniqueness of solution for initial value problem of impulsive differential equations involving higher order Katugampola fractional derivative

Advances in Difference Equations, 2020
In this paper we consider the initial value problem for some impulsive differential equations with higher order Katugampola fractional derivative (fractional order q ∈ ( 1 , 2 ] $q \in (1,2]$ ).
Xian-Min Zhang
doaj   +1 more source

Certain Novel p,q‐Fractional Integral Inequalities of Grüss and Chebyshev‐Type on Finite Intervals

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this article, we investigate certain novel Grüss and Chebyshev‐type integral inequalities via fractional p,q‐calculus on finite intervals. Then, some new Pólya–Szegö–type p,q‐fractional integral inequalities are also presented. The main findings of this article can be seen as the generalizations and extensions of a large number of existing results ...
Xiaohong Zuo, Wengui Yang, Mohammad W. Alomari   +2 more
wiley   +1 more source

On the generalized fractional snap boundary problems via G-Caputo operators: existence and stability analysis

Advances in Difference Equations, 2021
This research is conducted for studying some qualitative specifications of solution to a generalized fractional structure of the standard snap boundary problem.
Mohammad Esmael Samei, Mohammed M. Matar, Sina Etemad, Shahram Rezapour   +3 more
doaj   +1 more source

On the fractional Laplacian of a function with respect to another function

Mathematical Methods in the Applied Sciences, Volume 47, Issue 18, Page 14079-14110, December 2024.
The theories of fractional Laplacians and of fractional calculus with respect to functions are combined to produce, for the first time, the concept of a fractional Laplacian with respect to a bijective function. The theory is developed both in the 1‐dimensional setting and in the general n$$ n $$‐dimensional setting.
Arran Fernandez, Joel E. Restrepo, Jean‐Daniel Djida   +2 more
wiley   +1 more source

On Katugampola Fractional Multiplicative Hermite-Hadamard-Type Inequalities

Mathematics
This paper presents a novel framework for Katugampola fractional multiplicative integrals, advancing recent breakthroughs in fractional calculus through a synergistic integration of multiplicative analysis. Motivated by the growing interest in fractional
Wedad Saleh, Badreddine Meftah, Muhammad Uzair Awan, Abdelghani Lakhdari   +3 more
doaj   +1 more source

Generalized methods for predicting biological response to mixed radiation types and calculating equieffective doses (EQDX)

Medical Physics, Volume 51, Issue 1, Page 637-649, January 2024.
Abstract Background Predicting biological responses to mixed radiation types is of considerable importance when combining radiation therapies that use multiple radiation types and delivery regimens. These may include the use of both low‐ and high‐linear energy transfer (LET) radiations. A number of theoretical models have been developed to address this
Sumudu Katugampola, Robert F. Hobbs, Roger W. Howell   +2 more
wiley   +1 more source

Inverse Nodal Problem for a Conformable Fractional Diffusion Operator

, 2020
In this paper, a diffusion operator including conformable fractional derivatives of order {\alpha} ({\alpha} in (0,1)) is considered. The asymptotics of the eigenvalues, eigenfunctions and nodal points of the operator are obtained.
Çakmak, Yaşar
core  

Finite Difference Method for Infection Model of HPV with Cervical Cancer under Caputo Operator

Discrete Dynamics in Nature and Society, Volume 2024, Issue 1, 2024.
In this paper, a fractional model in the Caputo sense is used to characterize the dynamics of HPV with cervical cancer. Generalized mean value theorem has been used to examine whether the infection model has a unique positive solution. The model has two equilibrium points: the disease‐free point and the endemic point.
Bushra Bajjah, Mahmut Modanli, Francisco R. Villatoro   +2 more
wiley   +1 more source

Existence of Positive Solutions for a Nonlinear Iterative System of Boundary Value Problems with Tempered Fractional Order Derivative

Journal of Mathematics, Volume 2024, Issue 1, 2024.
This paper investigates the existence of positive solutions for an iterative system of nonlinear two‐point tempered fractional boundary value problem. Utilizing Krasnoselskii’s fixed point theorem in a cone, we establish criteria for the existence of positive solutions.
Sabbavarapu Nageswara Rao, Mahammad Khuddush, Abdullah Ali H. Ahmadini, Çetin Yildiz   +3 more
wiley   +1 more source