Nontrivial Solution of Fractional Differential System Involving Riemann-Stieltjes Integral Condition | Zendy

Yang Ge-feng | Zendy

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Nontrivial Solution of Fractional Differential System Involving Riemann-Stieltjes Integral Condition

Author(s) -

Yang Ge-feng

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/719192

Subject(s) - mathematics , uniqueness , riemann–stieltjes integral , contraction principle , mathematical analysis , contraction mapping , nonlinear system , class (philosophy) , pure mathematics , fractional calculus , integral equation , fixed point theorem , physics , quantum mechanics , artificial intelligence , computer science

We study the existence and uniqueness of nontrivial solutions for a class of fractionaldifferential system involving the Riemann-Stieltjes integral condition, by using the Leray-Schauder nonlinear alternative and the Banach contraction mapping principle, some sufficient conditions of the existence and uniqueness of a nontrivial solution of a system are obtained

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