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- Title
Results on solvability of nonlinear quadratic integral equations of fractional orders in Banach algebra.
- Authors
Al-Issa, Sh. M.; Mawed, N. M.
- Abstract
Here, we investigate the existence result for a nonlinear quadratic functional integral equation of fractional order using a fixed point theorem of Dhage. The continuous dependence of solution on the delay functions will be studied. As an application, an existence theorem for the fractional hybrid differential equations is proved. Also, we study a general quadratic integral equation of fractional order.
- Subjects
NONLINEAR integral equations; FRACTIONAL integrals; BANACH algebras; QUADRATIC equations; FUNCTIONAL equations; NONLINEAR functional analysis; INTEGRAL equations
- Publication
Journal of Nonlinear Sciences & Applications (JNSA), 2021, Vol 14, Issue 4, p181
- ISSN
2008-1898
- Publication type
Article
- DOI
10.22436/jnsa.014.04.01