Results 51 to 60 of about 486 (149)
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
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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
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Hilfer proportional nonlocal fractional integro-multipoint boundary value problems
Open Mathematics, 2023 In this article, we introduce and study a boundary value problem for (k,χ¯*)\left(k,{\bar{\chi }}_{* })-Hilfer generalized proportional fractional differential equation of order in an interval (1, 2], equipped with integro-multipoint nonlocal boundary ...
Samadi Ayub +3 more
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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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Numerical approach to the controllability of fractional order impulsive differential equations
Demonstratio Mathematica, 2020 In this manuscript, a numerical approach for the stronger concept of exact controllability (total controllability) is provided. The proposed control problem is a nonlinear fractional differential equation of order α∈(1,2]\alpha \in (1,2] with non ...
Kumar Avadhesh +3 more
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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 +2 more
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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
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Open Mathematics, 2020 In this paper, we study boundary value problems of fractional integro-differential equations and inclusions involving Hilfer fractional derivative.
Nuchpong Cholticha +2 more
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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
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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
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