Antiperiodic boundary value problems for impulsive fractional functional differential equations via conformable derivative

DOI10.1155/2018/7643123zbMath1411.34020OpenAlexW2908202478MaRDI QIDQ1733831

Jingfeng Wang, Chuanzhi Bai

Publication date: 21 March 2019

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/7643123

zbMATH Keywords

monotone iterative techniqueconformable fractional derivativelower and upper solution method

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Theoretical approximation of solutions to ordinary differential equations (34A45) Green's functions for ordinary differential equations (34B27) Fractional ordinary differential equations (34A08)

Related Items (2)

Periodic boundary value problem involving sequential fractional derivatives in Banach space ⋮ Improvement on conformable fractional derivative and its applications in fractional differential equations

Cites Work

• Fractional differential equations and related exact mechanical models
• On conformable fractional calculus
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• Impulsive anti-periodic boundary value problem for nonlinear differential equations of fractional order
• A study of an impulsive four-point nonlocal boundary value problem of nonlinear fractional differential equations
• Generalized anti-periodic boundary value problems of impulsive fractional differential equations
• Periodic boundary value problems for impulsive conformable fractional integro-differential equations
• Anti-periodic boundary value problems for first order impulsive functional differential equations
• Anomalous diffusion modeling by fractal and fractional derivatives
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Oscillation of differential equations in the frame of nonlocal fractional derivatives generated by conformable derivatives
• Basic theory of initial value problems of conformable fractional differential equations
• Auxiliary equation method for time-fractional differential equations with conformable derivative
• Existence of solutions for anti-periodic boundary value problems involving fractional differential equations via Leray-Schauder degree theory
• A new framework for multivariate general conformable fractional calculus and potential applications
• A new definition of fractional derivative
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