On a mixed-type integral equation and fractional-order functional differential equations

• Autorzy: A. M. A. El-Sayed , Nagwa Sherif , I. A. Ibrahim
• Języki publikacji: EN

Abstrakty

EN

In this paper we study the existence of solution of a nonlinear integral equation of (mixed type) Volterra-Fredholm type. As an application we prove the existence of solution of an initial value problem of fractional order in the space of Lebesgue integrable functions on the interval \([0, 1]\).

Słowa kluczowe

EN

Nonlinear functional integral equation; fractional calculus; Volterra operator; mixed type integral equation; Schauder fixed point theorem

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2005
• Tom: 45
• Numer: 2

Daty

wydano

2005

online

2017-12-19

Twórcy

autor

A. M. A. El-Sayed

autor

Nagwa Sherif

autor

I. A. Ibrahim

Identyfikatory

DOI

10.14708/cm.v45i2.5203