Results 41 to 50 of about 1,032 (127)

Results on the modified degenerate Laplace-type integral associated with applications involving fractional kinetic equations

Demonstratio Mathematica, 2023
Recently, integral transforms are a powerful tool used in many areas of mathematics, physics, engineering, and other fields and disciplines. This article is devoted to the study of one important integral transform, which is called the modified degenerate
Almalki Yahya, Abdalla Mohamed, Abd-Elmageed Hala   +2 more
doaj   +1 more source

Estimations of the Disparity Between Hydrogen Ion Concentration and pH in the Context of Caputo–Fabrizio Fractional Integrals via Convexity

Journal of Function Spaces, Volume 2025, Issue 1, 2025.
Fractional calculus is unique due to the fact it is as old as regular (integer) calculus, but it has also expanded its applications in a variety of fields and on a diversity of topics over the course of the last century. This leads to a continuous increase in the number of researchers and papers, ranging from integral inequality to biological models ...
Maria Tariq, Ammara Nosheen, Khuram Ali Khan, Atiq Ur Rehman, Ndolane Sene, Nikhil Khanna   +5 more
wiley   +1 more source

Banach Fixed‐Point Theorem for Fuzzy Nonlinear Neutral Integrodifferential Equations in n‐Dimensional Spaces

Journal of Mathematics, Volume 2025, Issue 1, 2025.
The Banach fixed‐point theorem, along with a fuzzy number characterized by normality, convexity, upper semicontinuity, and a compactly supported interval to look into the possibility of a solution equation to the fuzzy nonlinear neutral integrodifferential equation of the Sobolev‐type within a fuzzy vector space of n dimensions, is employed in this ...
M. Nagarajan, K. Karthik, P. Chandrasekaran, Tamilarasi Mathivanan, Prasantha Bharathi Dhandapani, Taha Radwan, Valerii Obukhovskii   +6 more
wiley   +1 more source

Application of fractional quantum calculus on coupled hybrid differential systems within the sequential Caputo fractional q-derivatives

Demonstratio Mathematica, 2023
In the current manuscript, we combine the q-fractional integral operator and q-fractional derivative to investigate a coupled hybrid fractional q-differential systems with sequential fractional q-derivatives. The existence and uniqueness of solutions for
Alzabut Jehad, Houas Mohamed, Abbas Mohamed I.   +2 more
doaj   +1 more source

Non-existence of periodic solutions in fractional-order dynamical systems and a remarkable difference between integer and fractional-order derivatives of periodic functions

, 2011
Using the Mellin transform approach, it is shown that, in contrast with integer-order derivatives, the fractional-order derivative of a periodic function cannot be a function with the same period.
Kaslik, Eva, Sivasundaram, Seenith
core   +1 more source

Mathematical Modeling of Divorce Incidence With Social Media Influence Using Caputo Fractional Derivative

Journal of Mathematics, Volume 2025, Issue 1, 2025.
Divorce has been an issue of concern in recent years, and with the emergence of social media, these issues are getting out of hand. Social media is seen to contribute to marital conflict by facilitating infidelity and promoting unrealistic expectations from couples, among other things.
Patience Pokuaa Gambrah, Davidon Jani, Kwasi Frempong Sarfo, Herman Matondo Mananga, Forster Owusu, Valerii Obukhovskii   +5 more
wiley   +1 more source

Deformable Laplace transform and its applications

Nonlinear Engineering, 2023
Recently, the deformable derivative and its properties have been introduced. In this work, we have investigated the concept of deformable Laplace transform (DLT) in more detail. Furthermore, some classical properties of the DLT are also included.
Ahuja Priyanka, Ujlayan Amit, Sharma Dinkar, Pratap Hari   +3 more
doaj   +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, Abdelkader Benali, Abdelkrim Salim, Reny George, Sina Etemad, Guotao Wang   +5 more
wiley   +1 more source

On Nonlinear Implicit Neutral Generalized Hilfer Fractional Differential Equations with Terminal Conditions and Delay

Topological Algebra and its Applications, 2022
In this paper, we establish the existence of solutions for a class of nonlinear implicit neutral fractional differential equations with terminal condition and Hilfer-Katugampola fractional derivative.
Bouriah Soufyane, Salim Abdelkrim, Benchohra Mouffak   +2 more
doaj   +1 more source

Generalized Taylor formulas involving generalized fractional derivatives

, 2017
In this paper, we establish a generalized Taylor expansion of a given function $f$ in the form $\displaystyle{f(x) = \sum_{j=0}^m c_j^{\alpha,\rho}\left(x^\rho-a^\rho\right)^{j\alpha} + e_m(x)}$ \noindent with $m\in \mathbb{N}$, $c_j^{\alpha,\rho}\in
Benjemaa, Mondher
core   +1 more source