On a class of nonlinear Volterra-Fredholm \(q\)-integral equations

DOI10.2478/s13540-014-0155-7zbMath1314.45003OpenAlexW2056085636MaRDI QIDQ2347390

Yanyan Li

Publication date: 27 May 2015

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s13540-014-0155-7

zbMATH Keywords

Banach fixed point theoremCayley-Hilbert projective metricsnonlinear \(q\)-integral equationsRiemann-Liouville fractional \(q\)-integral operator

Mathematics Subject Classification ID

Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Fredholm integral equations (45B05) Volterra integral equations (45D05) Fractional ordinary differential equations (34A08)

Related Items (4)

Introduction of the numerical methods in quantum calculus with uncertainty ⋮ Asymptotic behavior of solutions of nonlinear fractional differential equations with Caputo-type Hadamard derivatives ⋮ \(q\)-fractional differential equations with uncertainty ⋮ Successive approximation method for Caputo \(q\)-fractional IVPs

Cites Work

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• \(q\)-fractional calculus and equations
• Applications of Hilbert's projective metric to a class of positive nonlinear operators
• The Cayley-Hilbert metric and positive operators
• On solution of nonlinear Abel-Volterra integral equation
• Hilbert's metric and positive contraction mappings in a Banach space
• Application of q-Laplace transform to the solution of certain q-integral equations
• Extensions of Jentzsch's Theorem
• Hilbert’s projective metric and iterated nonlinear maps
• Iterated nonlinear maps and Hilbert’s projective metric. II
• Existence Theorem for a Non-Linear Integral Equation
• On a class of Volterra and Fredholm non-linear integral equations
• APPLICATIONS OF HILBERT'S PROJECTIVE METRIC TO CERTAIN CLASSES OF NON-HOMOGENEOUS OPERATORS
• On a one-parameter family ofq-exponential functions
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• Some Fractional q-Integrals and q-Derivatives

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