Results on solvability of nonlinear quadratic integral equations of fractional orders in Banach algebra

Al-Issa, Sh. M. ¹ ; Mawed, N. M. ²

¹ Department of Mathematics, faculty of Art and Science, Lebanese International University, Beirut, Lebanon;Department of Mathematics, faculty of Art and Science, Lebanese International University, Saida, Lebanon
² Department of Mathematics, faculty of Art and Science, Lebanese International University, Saida, Lebanon

Journal of nonlinear sciences and its applications, Tome 14 (2021) no. 4, p. 181-195.

Résumé

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.

Détail

DOI : 10.22436/jnsa.014.04.01

Classification : 26A33, 45D05, 34A99
Keywords: Dhage fixed point theorem, continuous dependence of solutions, hybrid differential equations, general quadratic integral equation

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