Solvability of fully nonlinear functional equations involving Erdélyi-Kober fractional integrals on the unbounded interval
From MaRDI portal
Publication:5495587
DOI10.1080/02331934.2014.883513zbMath1296.45004OpenAlexW2118296926MaRDI QIDQ5495587
Chun Zhu, JinRong Wang, Michal Fečkan
Publication date: 5 August 2014
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331934.2014.883513
Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Fractional derivatives and integrals (26A33) Singular nonlinear integral equations (45G05)
Related Items (7)
Existence results for nonlinear coupled system of integral equations of Urysohn Volterra-Chandrasekhar mixed type ⋮ On solutions of a nonlinear Erdélyi-Kober integral equation ⋮ Asymptotically stable solutions of a generalized fractional quadratic functional-integral equation of Erdélyi-Kober type ⋮ A unified approach to some classes of nonlinear integral equations ⋮ Existence, uniqueness and well-posedness results for relation theoretic coupled fixed points problem using \(\mathbf{C}\)-class function with some consequences and an application ⋮ Fractional systems and optimization ⋮ On a Hilfer fractional differential equation with nonlocal Erdélyi-Kober fractional integral boundary conditions
Cites Work
- The technique of Volterra-Stieltjes integral equations in the application to infinite systems of nonlinear integral equations of fractional orders
- Fractional order iterative functional differential equations with parameter
- Existence, attractiveness and stability of solutions for quadratic Urysohn fractional integral equations
- Analysis of nonlinear integral equations with Erdélyi-Kober fractional operator
- A new approach to the theory of functional integral equations of fractional order
- Existence of solutions for a class of nonlinear Volterra singular integral equations
- Solvability of a functional integral equation of fractional order in the class of functions having limits at infinity
- On existence and asymptotic behaviour of solutions of a functional integral equation
- Monotonic solutions of a quadratic integral equation of fractional order
- On existence and local attractivity of solutions of a quadratic Volterra integral equation of fractional order
- Measures of noncompactness in the study of solutions of nonlinear differential and integral equations
- On quadratic integral equation of fractional orders
This page was built for publication: Solvability of fully nonlinear functional equations involving Erdélyi-Kober fractional integrals on the unbounded interval
