Boundary value problems of nonlinear fractional q-difference (integral) equations with two fractional orders and four-point nonlocal integral boundary conditions | Zendy

Bashir Ahmad | Zendy; Juan J. Nieto | Zendy; Ahmed Alsaedi | Zendy; Hana Al-Hutami | Zendy

Open Access

Boundary value problems of nonlinear fractional q-difference (integral) equations with two fractional orders and four-point nonlocal integral boundary conditions

Author(s) -

Bashir Ahmad,

Juan J. Nieto,

Ahmed Alsaedi,

Hana Al-Hutami

Publication year - 2014

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1408719a

Subject(s) - mathematics , mathematical analysis , nonlinear system , fractional calculus , integral equation , boundary value problem , fixed point theorem , boundary (topology) , quantum mechanics , physics

This paper investigates the existence of solutions for nonlinear fractional q-difference equations and q-difference integral equations involving two fractional orders with four-point nonlocal integral boundary conditions. The existence results are obtained by applying some traditional tools of fixed point theory, and are illustrated with examples.

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