Application of the fixed point theorems on the existence of solutions for \(q\)-fractional boundary value problems

DOI10.3934/math.2019.3.997zbMath1484.39004OpenAlexW2965772681MaRDI QIDQ2127807

Sina Etemad, Sotiris K. Ntouyas

Publication date: 21 April 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2019.3.997

zbMATH Keywords

existenceboundary value problemfixed point theoremfractional \(q\)-difference equation and inclusion

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Difference equations, scaling ((q)-differences) (39A13) Fractional ordinary differential equations (34A08) Real analysis on time scales or measure chains (26E70)

Related Items (7)

A fractional differential equation with multi-point strip boundary condition involving the Caputo fractional derivative and its Hyers-Ulam stability ⋮ A novel fractional structure of a multi-order quantum multi-integro-differential problem ⋮ A multi-singular fractional equation and the Hyers-Ulam stability ⋮ Fixed point theorems for Maia \(\alpha\)-\(\psi\) contractive type mappings with applications ⋮ On a fractional cantilever beam model in the q-difference inclusion settings via special multi-valued operators ⋮ A study of boundary value problem for generalized fractional differential inclusion via endpoint theory for weak contractions ⋮ Existence results of nonlocal Robin mixed Hahn and \(q\)-difference boundary value problems

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