On global solutions to fractional functional differential equations with infinite delay in Fréchet spaces期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

On global solutions to fractional functional differential equations with infinite delay in Fréchet spaces

Authors:	Yong-Kui Chang M Mallika Arjunan

Affiliation:	^a Department of Mathematics, Lanzhou Jiaotong University, Lanzhou, Gansu 7300070, PR China ^b Department of Mathematics, Karunya University, Karunya Nagar, Coimbatore-641 114, Tamil Nadu, India ^c Department of Mathematics, Morgan State University, 1700 E. Cold Spring Lane, Baltimore, MD 21251, USA

Abstract:	In this paper, we investigate global uniqueness results for fractional functional differential equations with infinite delay in Fréchet spaces. We shall rely on a nonlinear alternative of Leray-Schauder type in Fréchet spaces due to Frigon and Granas. The results are obtained by using the α-resolvent family (S_α(t))_t≥0 on a complex Banach space X combined with the above-mentioned fixed point theorem. As an application, a controllability result with one parameter is also provided to illustrate the theory.

Keywords:	Fractional differential equations _method=retrieve& _eid=1-s2 0-S089812211100191X& _mathId=si4 gif& _pii=S089812211100191X& _issn=08981221& _acct=C000054348& _version=1& _userid=3837164& md5=f146720fece5a2a1ae5b78929f0dc007')" style="cursor:pointer α-resolvent family" target="_blank">" alt="Click to view the MathML source" title="Click to view the MathML source">α-resolvent family Phase space axioms Controllability
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