Document Type : Research Paper

Authors

• Kishor Kucche
• Pallavi Shikhare

Department of Mathematics, Shivaji University, Kolhapur-416 004, Maharashtra, India

Abstract

In the present research paper we derive results about existence and uniqueness of solutions and Ulam-Hyers and Rassias stabilities of nonlinear Volterra-Fredholm delay integrodifferential equations. Pachpatte's inequality and Picard operator theory are the main tools that are used to obtain our main results. We concluded this work with applications of obtained results and few illustrative examples.

Keywords

• Volterra-Fredholm integrodifferential equations
• Ulam-Hyers stability
• Ulam-Hyers-Rassias stability
• Integral inequality
• Picard operator