Results 61 to 70 of about 1,661 (192)
, 2012 In this paper, we study a nonlinear fractional q-difference equation with nonlocal boundary conditions. The existence of solutions for the problem is shown by applying some well-known tools of fixed-point theory such as Banach’s contraction principle ...
B. Ahmad, S. Ntouyas, I. Purnaras
semanticscholar +1 more source
Fractional variational calculus of variable order
, 2012 We study the fundamental problem of the calculus of variations with variable order fractional operators. Fractional integrals are considered in the sense of Riemann-Liouville while derivatives are of Caputo type.Comment: Submitted 26-Sept-2011; accepted ...
A Almeida +33 more
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Journal of Function Spaces, Volume 2024, Issue 1, 2024.The p‐Laplacian fractional differential equations have been studied extensively because of their numerous applications in science and engineering. In this study, a class of p‐Laplacian fractional differential equations with instantaneous and noninstantaneous impulses is considered.
Wangjin Yao +2 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
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Journal of King Saud University: Science, 2019 This paper is concerned with the existence of solutions for Caputo type sequential fractional differential equations and inclusions supplemented with semi-periodic and nonlocal integro-multipoint boundary conditions involving Riemann-Liouville integral ...
Bashir Ahmad +2 more
doaj
Coupled system of a fractional order differential equations with weighted initial conditions
Open Mathematics, 2019 Here, a coupled system of nonlinear weighted Cauchy-type problem of a diffre-integral equations of fractional order will be considered. We study the existence of at least one integrable solution of this system by using Schauder fixed point Theorem.
El-Sayed Ahmed M. A. +1 more
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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
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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
Advances in Difference Equations, 2011 In this article, we consider the existence of at least one positive solution to the three-point boundary value problem for nonlinear fractional-order differential equation with an advanced argument where 2 < α ≤ 3, 0 < η < 1 ...
Ntouyas SK, Wang Guotao, Zhang Lihong
doaj
Open Mathematics, 2018 In this paper, the existence of positive solutions for systems of semipositone singular fractional differential equations with a parameter and integral boundary conditions is investigated. By using fixed point theorem in cone, sufficient conditions which
Hao Xinan, Wang Huaqing
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