Existence results for nonlinear fractional boundary value problem involving generalized proportional derivative

DOI10.1186/S13662-019-2038-ZzbMath1458.34030OpenAlexW2932461387WikidataQ128264410 ScholiaQ128264410MaRDI QIDQ1733587

Xianqiang Yang

Publication date: 21 March 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-019-2038-z

zbMATH Keywords

Orlicz spacesfractional boundary value problemgeneralized proportional derivative

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Fractional derivatives and integrals (26A33) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)

Related Items (6)

On multi-term proportional fractional differential equations and inclusions ⋮ Study of a class of generalized multiterm fractional differential equations with generalized fractional integral boundary conditions ⋮ Unnamed Item ⋮ On more general fractional differential equations involving mixed generalized derivatives with nonlocal multipoint and generalized fractional integral boundary conditions ⋮ Unnamed Item ⋮ On Hilfer generalized proportional fractional derivative

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On conformable fractional calculus
• Recent history of fractional calculus
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Existence of solutions for the delayed nonlinear fractional functional differential equations with three-point integral boundary value conditions
• Existence and uniqueness results for a coupled fractional order systems with the multi-strip and multi-point mixed boundary conditions
• Existence results for fractional differential equations with integral and multi-point boundary conditions
• Fractional operators with exponential kernels and a Lyapunov type inequality
• Existence theory for fractional differential equations with non-separated type nonlocal multi-point and multi-strip boundary conditions
• Some new nonlinear second-order boundary value problems on an arbitrary domain
• On a class of ordinary differential equations in the frame of Atangana-Baleanu fractional derivative
• A new definition of fractional derivative
• Existence of positive solutions for multi-point boundary value problems of Caputo fractional differential equation
• Arbitrary order fractional difference operators with discrete exponential kernels and applications
• On the generalized fractional derivatives and their Caputo modification
• On nonlinear fractional-order boundary value problems with nonlocal multi-point conditions involving Liouville-Caputo derivative

This page was built for publication: Existence results for nonlinear fractional boundary value problem involving generalized proportional derivative