Mild solutions for semilinear fractional differential equations [PDF]
Electronic Journal of Differential Equations, 2009 This paper concerns the existence of mild solutions for fractional semilinear differential equation with non local conditions in the $alpha$-norm.
Gisele M. Mophou, Gaston M. N'Guerekata
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Existence results for mild solutions of impulsive periodic systems [PDF]
, 2012 By applying the Horn's fixed point theorem, we prove the existence of \(T_0\)-periodic \(PC\)-mild solution of impulsive periodic systems when \(PC\)-mild solutions are ultimate ...
Yang, Y. +3 more
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Mild solutions of a fractional partial differential equation with noise
, 2021 This article focuses on studying mild solutions of an original fractional partial differential equation disturbed by multiplicative white noise.
İNÇ, MUSTAFA +7 more
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Decay mild solutions of the nonlocal Cauchy problem for second order evolution equations with memory [PDF]
, 2016 Our aim in this paper is to find out decay mild solutions of the nonlocal Cauchy problem for a class of second order evolution equations with memory. By constructing a suitable measure of noncompactness on the space of solutions, we prove the existence ...
Luong Vu Trong +2 more
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On a second-order differential problem with fractional derivatives of order greater than one
Mathematical Modelling and Analysis, 2013 A second-order abstract problem with derivatives of non-integer order is investigated. The nonlinearity involves fractional derivatives between 1 and 2. Existence and uniqueness of mild and classical solutions are established in appropriate spaces.
Nasser-eddine Tatar
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On some existence results of mild solutions for nonlocal integrodifferential Cauchy problems in Banach spaces [PDF]
Opuscula Mathematica, 2011 In this paper, we study a class of integrodifferential evolution equations with nonlocal initial conditions in Banach spaces. Existence results of mild solutions are proved for a class of integrodifferential evolution equations with nonlocal initial ...
YanLong Yang, JinRong Wang
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Controllability of Impulsive ψ-Caputo Fractional Evolution Equations with Nonlocal Conditions
Mathematics, 2021 This paper is mainly concerned with the exact controllability for a class of impulsive ψ-Caputo fractional evolution equations with nonlocal conditions. First, by generalized Laplace transforms, a mild solution for considered problems is introduced. Next,
Longfei Lin, Yansheng Liu, Daliang Zhao
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Existence of mild solutions on semiinfinite interval for first order differential equation with nonlocal condition [PDF]
, 2000 summary:In this paper we investigate the existence of mild solutions defined on a semiinfinite interval for initial value problems for a differential equation with a nonlocal condition.
Benchohra, M., Ntouyas, S. K.
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n0-Order Weighted Pseudo Δ-Almost Automorphic Functions and Abstract Dynamic Equations
Mathematics, 2019 In this paper, we introduce the concept of a n 0 -order weighted pseudo Δ n 0 δ -almost automorphic function under the matched space for time scales and we present some properties.
Chao Wang +3 more
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On mild solutions to fractional differential equations with nonlocal conditions [PDF]
, 2011 We prove new existence results of mild solutions to fractional differential equations with nonlocal conditions in Banach spaces. The nonlocal item is only assumed to be continuous.
Chen, Lizhen +5 more
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