Results 71 to 80 of about 1,363 (174)

Existence and Stability Results for Coupled Fractional Dynamic System with Impulses over Non-uniform Time Domains

open access: yesNonautonomous Dynamical Systems, 2022
In this manuscript, we examine the existence, uniqueness and stability results for a coupled fractional dynamical system with impulsive and initial-boundary (IB) conditions on non-uniform time domains by implying the theory of time scales.
Kumar Vipin, Malik Muslim
doaj   +1 more source

An ordering on Green's function and a Lyapunov-type inequality for a family of nabla fractional boundary value problems

open access: yesFractional Differential Calculus, 2019
In this article, we consider a family of two-point Riemann–Liouville type nabla fractional boundary value problems involving a fractional difference boundary condition.
J. Jonnalagadda
semanticscholar   +1 more source

A Fractional‐Order Peer Influence Mathematical Model

open access: yesJournal of Applied Mathematics, Volume 2025, Issue 1, 2025.
In this article, a fractional‐order mathematical model is used to simulate peer influence using the Liouville–Caputo framework. Our model was made up of four states, which describe friends, negatively behaved friends, parental guidance, and positively behaved friends.
Patience Pokuaa Gambrah   +5 more
wiley   +1 more source

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

open access: yesJournal 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   +5 more
wiley   +1 more source

A note on exp-function method combined with complex transform method applied to fractional differential equations

open access: yesAdvances in Nonlinear Analysis, 2015
In this article, the fractional derivatives in the sense of modified Riemann–Liouville and the exp-function method are used to construct exact solutions for some nonlinear partial fractional differential equations via the nonlinear fractional Liouville ...
Guner Ozkan, Bekir Ahmet, Bilgil Halis
doaj   +1 more source

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

open access: yesDemonstratio 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   +2 more
doaj   +1 more source

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

open access: yesDemonstratio 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   +2 more
doaj   +1 more source

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

open access: yesJournal 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   +6 more
wiley   +1 more source

Deformable Laplace transform and its applications

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

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

open access: yesJournal 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   +5 more
wiley   +1 more source

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