Results 11 to 20 of about 1,661 (192)
On fractional derivatives and primitives of periodic functions [PDF]
arXiv, 2014 In this paper we prove that the fractional derivative or the fractional primitive of a $T$-periodic function cannot be a $\tilde{T}$-periodic function, for any period $\tilde{T}$, with the exception of the zero function.Comment: 12 ...
Area, I., Losada, J., Nieto, J. J.
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On fractional p-Laplacian problems with weight [PDF]
arXiv, 2014 We investigate the existence of nonnegative solutions for a nonlinear problem involving the fractional p-Laplacian operator.
Lehrer, Raquel +2 more
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Differential Equations & Applications, 2023 . In this paper, we investigate the existence of global e -positive mild solutions to the initial value problem for a nonlinear impulsive fractional evolution differential equation involving the theory of sectorial operators.
J. F. Junior +2 more
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IJISCS (International Journal of Information System and Computer Science), 2023 The purpose of this research is to investegate the existence and uniqueness of solutions for a new class of Atangana-Baleanu fractional differential equations of order with periodic boundary conditions.
A. Rafeeq, Muhammad Muhammad
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Boundary Value Methods for Caputo Fractional Differential Equations
, 2021 This paper deals with the numerical computation and analysis for Caputo fractional differential equations (CFDEs). By combining the p-order boundary value methods (BVMs) and the m-th Lagrange interpolation, a type of extended BVMs for the CFDEs with γ ...
Yongtao Zhou
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, 2020 In this paper, we investigate the existence, uniqueness and Ulam-Hyers stability of solutions for nonlinear implicit fractional differential equations with boundary conditions involving a ψ-Caputo fractional derivative.
Hanan A. Wahash +2 more
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A new fractional boundary value problem and Lyapunov-type inequality
Journal of Mathematical Inequalities, 2021 Throughout this paper, we study a new modified version of fractional boundary value problem (BVP) of the form (a D α y)(t)+ p(t)y′(t)+q(t)y(t) = 0, a < t < b, 2 < α 3, with y(a) = y′(a) = y(b) = 0 , where p ∈C1([a,b]) and q ∈C([a,b]) .
E. Pourhadi, M. Mursaleen
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Determination of order in linear fractional differential equations [PDF]
, 2017 The order of fractional differential equations (FDEs) has been proved to be of great importance in an accurate simulation of the system under study. In this paper, the orders of some classes of linear FDEs are determined by using the asymptotic behaviour
D'Ovidio, Mirko +3 more
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Nonautonomous Dynamical Systems, 2022 The main crux of this manuscript is to establish the existence and uniqueness of solutions for nonlocal fractional evolution equations involving ψ−Caputo fractional derivatives of an arbitrary order α ∈ (0, 1) with nondense domain.
Mfadel Ali El +3 more
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All functions are locally $s$-harmonic up to a small error [PDF]
, 2014 We show that we can approximate every function $f\in C^{k}(\bar{B_1})$ with a $s$-harmonic function in $B_1$ that vanishes outside a compact set. That is, $s$-harmonic functions are dense in $C^{k}_{\rm{loc}}$.
Dipierro, Serena +2 more
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