Results 1 to 10 of about 88,575 (314)
On two fractional differential inclusions. [PDF]
Springerplus, 2016 We investigate in this manuscript the existence of solution for two fractional differential inclusions. At first we discuss the existence of solution of a class of fractional hybrid differential inclusions. To illustrate our results we present an illustrative example.
Baleanu D +3 more
europepmc +4 more sources
Differential inclusions of arbitrary fractional order with anti-periodic conditions in Banach spaces [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2016 In this paper, we establish various existence results of solutions for fractional differential equations and inclusions of arbitrary order $q\in (m-1,m)$, where $m$ is an arbitrary natural number greater than or equal to two, in infinite dimensional ...
JinRong Wang +2 more
doaj +6 more sources
Fractional differential inclusions with anti-periodic boundary conditions in Banach spaces. [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2014 The main purpose of this paper is to provide the theory of differential inclusions by new existence results of solutions for boundary value problems of differential inclusions with fractional order and with anti-periodic boundary conditions in Banach ...
Ahmed Ibrahim
doaj +5 more sources
On the existence of positive solutions for fractional differential inclusions at resonance. [PDF]
Springerplus, 2016 In this paper, we discuss the existence of positive solutions for a boundary value problem of fractional differential inclusions with resonant boundary conditions. By using the Leggett-Williams theorem for coincidences of multi-valued operators due to O'Regan and Zima, results on the existence of positive solutions are established.
Hu L.
europepmc +4 more sources
BVP for Hadamard Sequential Fractional Hybrid Differential Inclusions
Journal of Function Spaces, 2022 The study is concerned with the Hadamard sequential fractional hybrid differential inclusions with two-point hybrid integral boundary conditions. With the help of the Dhage fixed-point theorem for the product of two operators and the Covitz-Nadler fixed ...
Ning Li, Haibo Gu, Yiru Chen
doaj +3 more sources
Fractional semilinear differential inclusions
Computers and Mathematics With Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Abdelghani Ouahab
exaly +2 more sources
Two sequential fractional hybrid differential inclusions [PDF]
Advances in Difference Equations, 2020 The main objective of this paper is to concern with a new category of the sequential hybrid inclusion boundary value problem with three-point integro-derivative boundary conditions.
Hakimeh Mohammadi +3 more
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Fractional differential inclusions with fractional separated boundary conditions
Fractional Calculus and Applied Analysis, 2012 The paper studies the following boundary value problem for a fractional differential inclusion \[ D^q_Cx(t)\in F(t,x(t)), \quad t\in [0,1], \] \[ \alpha _1x(0)+\beta _1(D^p_Cx(0))=\gamma _1,\quad \alpha _2x(1)+\beta _2(D^p_Cx(1))=\gamma _2, \] where \(D^r_C\) is the Caputo fractional derivative of order \(r\), \(q\in (1,2]\), \(p\in (0,1)\), \(F:[0,1 ...
Bashir Ahmad, Sotiris K Ntouyas
exaly +4 more sources
Hilfer-Katugampola fractional stochastic differential inclusions with Clarke sub-differential. [PDF]
HeliyonThe objective of this paper is to investigate the existence of mild solutions and optimal controls for a class of stochastic Hilfer-Katugampola fractional differential inclusions (SHKFDIs) with non-instantaneous impulsive (NIIs) that is strengthened by Brownian motion (BM) and the Clarke sub-differential.
Mshary N +3 more
europepmc +4 more sources
Impulsive Fractional Differential Inclusions Involving the Caputo Fractional Derivative [PDF]
, 2009 Mathematics Subject Classification: 26A33, 34A37.In this paper, we establish sufficient conditions for the existence of solutions for a class of initial value problem for impulsive fractional differential inclusions involving the Caputo fractional ...
Ait Dads, E., Benchohra, M., Hamani, S.
core +2 more sources