Results 71 to 80 of about 463 (144)
A New Double Transform for Nonconformable Derivatives
Journal of Function Spaces, Volume 2025, Issue 1, 2025.In this article, we present the nonconformable fractional derivative of the double Sumudu transformation. In this study, we investigate the main features and benefits of this new technique and then apply it to solve several fractional nonconformable partial differential equations.
Shams A. Ahmed +2 more
wiley +1 more source
Bivariate Chebyshev Type Inequalities for Alpha Diamond Integrals via Time Scale Calculus
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this article, some generalizations of inequalities involving Chebyshev functional depending upon two parameters, for the class of twice differentiable functions on time scales, are studied. In order to reach the milestone, some preliminary identities are introduced involving delta and nabla integrals simultaneously.
Khaled Aldwoah +6 more
wiley +1 more source
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 +5 more
wiley +1 more source
The Variable-Order Fractional Calculus of Variations
, 2018 This book intends to deepen the study of the fractional calculus, giving special emphasis to variable-order operators. It is organized in two parts, as follows. In the first part, we review the basic concepts of fractional calculus (Chapter 1) and of the
Almeida, Ricardo +2 more
core +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 +2 more
wiley +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 +2 more
wiley +1 more source
Inequalities for Katugampola conformable partial derivatives
Journal of Inequalities and Applications, 2019 In the paper, we introduce two concepts of Katugampola conformable partial derivatives and α-conformable integrals. As applications, we establish Opial type inequalities for Katugampola conformable partial derivatives and α-conformable integrals. The new
Chang-Jian Zhao, Wing-Sum Cheung
doaj +1 more source
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 +2 more
wiley +1 more source
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 +2 more
wiley +1 more source