Existence Results for Solutions of Nonlinear Fractional Differential Equations | Zendy

Ali Yakar | Zendy; Mehmet Emir Köksal | Zendy

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Existence Results for Solutions of Nonlinear Fractional Differential Equations

Author(s) -

Ali Yakar,

Mehmet Emir Köksal

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 - 10.1155/2012/267108

Subject(s) - mathematics , nonlinear system , constructive , mathematical analysis , differential equation , set (abstract data type) , physics , process (computing) , quantum mechanics , computer science , programming language , operating system

This paper deals with theoretical and constructive existence results for solutions of nonlinear fractional differential equations using the method of upper and lower solutionswhich generate a closed set. The existence of solutions for nonlinear fractional differential equations involving Riemann-Liouville differential operator in a closed set is obtained by utilizing various types of coupled upper and lower solutions. Furthermore, these results are extended to the finite systems of nonlinear fractional differential equations leading to more general results

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