Existence of solutions for \(q\)-fractional differential equations with nonlocal Erdélyi-Kober \(q\)-fractional integral condition

DOI10.3934/MATH.2020421zbMath1484.39005OpenAlexW3080240147MaRDI QIDQ2132219

Rengang Huang, Min Jiang

Publication date: 27 April 2022

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

Full work available at URL: https://doi.org/10.3934/math.2020421

zbMATH Keywords

fixed point theoremsRiemann-Liouville fractional derivatives\(q\)-fractional differential equationsErdélyi-Kober \(q\)-fractional integral

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Difference equations, scaling ((q)-differences) (39A13) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08) Real analysis on time scales or measure chains (26E70)

Related Items (4)

EXISTENCE RESULTS FOR A COUPLED SYSTEM OF NONLINEAR FRACTIONAL q-INTEGRO-DIFFERENCE EQUATIONS WITH q-INTEGRAL-COUPLED BOUNDARY CONDITIONS ⋮ Analysis of \(q\)-fractional implicit differential equation with nonlocal Riemann-Liouville and Erdélyi-Kober \(q\)-fractional integral conditions ⋮ Nonlinear multi-term impulsive fractional \(q\)-difference equations with closed boundary conditions ⋮ Analysis of q‐fractional coupled implicit systems involving the nonlocal Riemann–Liouville and Erdélyi–Kober q‐fractional integral conditions

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