Title of article
Construction of compact-integral operators on C ∞(R+) and C n (R+) with application in the study of functional integro-differential equations
Author/Authors
Allahyari ، Asghar Department of Mathematics - Islamic Azad University, Tabas Branch , Amiri Kayvanloo ، Hojjatollah Department of Mathematics - Islamic Azad University, Mashhad Branch , Mursaleen ، Mohammad Department of Mathematics - Aligarh Muslim University , Shole Haghighi ، Ali Department of Mathematics - Islamic Azad University, Mashhad Branch , Davarpanah ، Mohammad Department of Mathematics - Islamic Azad University, Ferdows Branch , Allahyari ، Reza Department of Mathematics - Islamic Azad University, Mashhad Branch
From page
377
To page
389
Abstract
In this brief note, we present a fixed point theorem in the Fréchet space. Also we study a new family of measures of noncompactness on C∞(R+) and C n(R+) and we investigate the construction of compact-integral operators on C∞(R+) and C n(R+). Finally, we provide various examples which illustrate the existence of solutions for a wide variety of functional integral-differential equations.
Keywords
Family of measures of noncompactness , condensing operators , integral , differential equations
Journal title
International Journal of Nonlinear Analysis and Applications
Journal title
International Journal of Nonlinear Analysis and Applications
Record number
2773885
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