Existence results for nonlinear fractional differential equations with four-point nonlocal type integral boundary conditions

zbMath1241.26004MaRDI QIDQ421915

Bashir Ahmad, Sotiris K. Ntouyas

Publication date: 15 May 2012

Published in: African Diaspora Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.adjm/1303391943

zbMATH Keywords

existencecontraction principlefractional differential equationsKrasnoselskii's fixed point theoremLeray-Schauder degreefour-point integral boundary conditions

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fractional derivatives and integrals (26A33) Differential inequalities involving functions of a single real variable (34A40)

Related Items

Existence results for fractional differential inclusions involving non-convex valued maps with four-point nonlocal integral boundary conditions, A note on fractional differential equations with fractional separated boundary conditions, Existence results for a Riemann-Liouville-type fractional multivalued problem with integral boundary conditions, A study of nonlinear fractional differential equations of arbitrary order with Riemann-Liouville type multistrip boundary conditions, Exact null controllability for fractional nonlocal integrodifferential equations via implicit evolution system, Caputo type fractional differential equations with nonlocal Riemann-Liouville integral boundary conditions, Nonlinear fractional integro-differential Langevin equation involving two fractional orders with three-point multi-term fractional integral boundary conditions, Nonlinear fractional differential equations with anti-periodic type fractional boundary conditions