Results 61 to 70 of about 1,330 (174)
Forced oscillation of certain fractional differential equations
, 2013 The paper deals with the forced oscillation of the fractional differential equation (Daqx)(t)+f1(t,x(t))=v(t)+f2(t,x(t))for t>a≥0 with the initial conditions (Daq−kx)(a)=bk (k=1,2,…,m−1) and limt→a+(Iam−qx)(t)=bm, where Daqx
Da-Xue Chen, Pei-Xin Qu, Y. Lan
semanticscholar +1 more source
A Fractional‐Order Peer Influence Mathematical Model
Journal 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
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 +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
Oscillation criteria of fractional differential equations
, 2012 In this article, we are concerned with the oscillation of the fractional differential equation r(t)D-αyη(t)′-q(t)f∫t∞(v-t)-αy(v)dv=0fort>0, where D-αy is the Liouville right-sided fractional derivative of order α ∈ (0,1) of y and η > 0 is a quotient of
Da-Xue Chen
semanticscholar +1 more source
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 +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 +3 more
doaj +1 more source
Lyapunov inequality for fractional differential equations with Prabhakar derivative
, 2016 In this paper, we consider a fractional boundary value problem including the Prabhakar fractional derivative. We obtain associated Green function for this fractional boundary value problem and get a Lyapunov-type inequality for it.
S. Eshaghi, A. Ansari
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Existence results for fractional q-difference equations with nonlocal q-integral boundary conditions
Advances in Differential Equations, 2013 In this paper, we discuss the existence of positive solutions for nonlocal q-integral boundary value problems of fractional q-difference equations. By applying the generalized Banach contraction principle, the monotone iterative method, and Krasnoselskii’
Yulin Zhao, Haibo Chen, Qi-Ming Zhang
semanticscholar +1 more source
Demonstratio MathematicaIn this work, we consider a class of fuzzy fractional delay integro-differential equations with the generalized Caputo-type Atangana-Baleanu (ABC) fractional derivative.
Wang Guotao +3 more
doaj +1 more source