带有非局部积分边值的Hadamard型分数阶微分包含解的终结点型存在性定理

doi:10.6040/j.issn.1671-9352.0.2017.222

Abstract

Abstract: Based on fixed-point theorem for multi-value maps, the endpoint theorem on the existence of solutions for the following Hadamard fractional order differential inclusions with nonlocal integral boundary value problems is given:{D^αx(t)∈F(t,x(t)), 1e, 1<α≤2, x(1)=x(0), A/(Γ(γ))∫^η₁(logη/s)^γ-1(x(s))/sds+Bx(e)=c, γ>0, 1<η<e, where D^α is Hadamard type fractional derivative, F:［1,e］×R→P(R)is a multi-valued map, A,B,c are constants. The aim of this paper is to extend known single value result to multi-valued framework.

Key words: Hadamard-type fractional differential inclusions, endpoint theorem, multi-valued maps, boundary value conditions

CLC Number:

O175.14

YANG Dan-dan. Endpoint theorem on existence of solutions for Hadamard-type fractional differential inclusions with nonlocal integral boundary value conditions[J].JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2018, 53(2): 46-51.

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Endpoint theorem on existence of solutions for Hadamard-type fractional differential inclusions with nonlocal integral boundary value conditions

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