Existence Theory for th Order Nonlocal Integral Boundary Value Problems and Extension to Fractional Case | Zendy

Bashir Ahmad | Zendy; Sotiris K. Ntouyas | Zendy; Hamed Alsulami | Zendy

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Existence Theory for th Order Nonlocal Integral Boundary Value Problems and Extension to Fractional Case

Author(s) -

Bashir Ahmad,

Sotiris K. Ntouyas,

Hamed Alsulami

Publication year - 2013

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 - 10.1155/2013/183813

Subject(s) - mathematics , uniqueness , boundary value problem , order (exchange) , ordinary differential equation , variety (cybernetics) , extension (predicate logic) , mathematical analysis , fractional calculus , fixed point theorem , type (biology) , differential equation , ecology , statistics , finance , computer science , economics , biology , programming language

This paper is devoted to the study of the existence and uniqueness of solutionsfor th order differential equations with nonlocal integral boundary conditions. Our results are based on a variety of fixed point theorems. Some illustrativeexamples are discussed. We also discuss the Caputo type fractional analogue ofthe higher-order problem of ordinary differential equations

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