On a multipoint boundary value problem for a fractional order differential inclusion on an infinite interval
type: Item
instance of: scholarly article
title: On a multipoint boundary value problem for a fractional order differential inclusion on an infinite interval
zbMATH Open document ID: 1272.34009
DOI: 10.1155/2013/823961
author: N. Nyamoradi
author: Ravi P. Agarwal
author: D. Baleanu
published in: Advances in Mathematical Physics
publication date: 2013-06-07T00:00:00Z
review text: Summary: We investigate the existence of solutions for the multipoint boundary value problem of a fractional-order differential inclusion \[ \begin{aligned} & D^\alpha_{0^+}u(t) + F(t, u(t), u'(t)) \ni 0,\quad 0 < t < +\infty,\\ & u(0) = u'(0) = 0, D^{\alpha - 1}u(+\infty) - \sum^{m-2}_{i=1} \beta_i u(\xi_i) = 0\end{aligned}, \] where \(D^\alpha_{0^+}\) is the standard Riemann-Liouville fractional derivative, \(2 < \alpha < 3\), \(0 < \xi_1 < \xi_2 < \dotsb < \xi_{m-2} < +\infty\), \(0 < \sum^{m-2}_{i=1} \beta_i \xi^{\alpha - 1}_i < \Gamma(\alpha)\), and \(F : [0, +\infty) \times \mathbb R \times \mathbb R \to \mathcal P(\mathbb R)\) is a set-valued map. Several results are obtained by using suitable fixed point theorems when the right-hand-side has convex or nonconvex values.
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34A60
Mathematics Subject Classification ID: 34B10
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 6171645
Wikidata QID: Q58918887
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/823961
OpenAlex ID: W2118801536
cites work: Existence of multiple positive solutions for \(m\)-point fractional boundary value problems on an infinite interval
cites work: Nonlinear functional differential equations of arbitrary orders
cites work: Differential equations of fractional order:methods results and problem —I
cites work: Differential Equations of Fractional Order: Methods, Results and Problems. II
cites work: Q3006513
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Q3141895
cites work: A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions
cites work: Basic theory of fractional differential equations
cites work: Existence of solutions for multi point boundary value problems for fractional differential equations
cites work: Positive solutions for multi-point boundary value problems for nonlinear fractional differential equations
cites work: A six-point nonlocal integral boundary value problem for fractional differential equations
cites work: Existence of positive solutions for fractional differential systems with multi point boundary conditions
cites work: Existence theory for anti-periodic boundary value problems of fractional differential equations and inclusions
cites work: Existence results for nonlocal boundary value problems of fractional differential equations and inclusions with strip conditions
cites work: Multivalued fractional differential equations
cites work: Existence of solutions for fractional differential inclusions with nonlocal strip conditions
cites work: Q3508909
cites work: Continuous version of Filippov's theorem for fractional differential inclusions
cites work: Q5409199
cites work: Some results for fractional boundary value problem of differential inclusions
cites work: Q4000472
cites work: Q4421936
cites work: Extensions and selections of maps with decomposable values
cites work: Set-valued analysis
cites work: Condensing multivalued maps and semilinear differential inclusions in Banach spaces
cites work: Infinite interval problems for differential, difference and integral equations
cites work: Q5699297
cites work: Existence and unboundedness of positive solutions for singular boundary value problems on half-line.
cites work: Q5332416
cites work: Multi-valued contraction mappings in generalized metric spaces
cites work: Convex analysis and measurable multifunctions
description: scientific article; zbMATH DE number 6171645