Semnan University International Journal of Nonlinear Analysis and Applications 2008-6822 9 2 2018 12 17 Ulam stabilities for nonlinear Volterra-Fredholm delay integrodifferential equations 145 159 3514 10.22075/ijnaa.2018.12688.1647 EN Kishor Kucche Department of Mathematics, Shivaji University, Kolhapur-416 004, Maharashtra, India Pallavi Shikhare Department of Mathematics, Shivaji University, Kolhapur-416 004, Maharashtra, India Journal Article 2017 10 06 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. Volterra-Fredholm integrodifferential equations Ulam-Hyers stability Ulam-Hyers-Rassias stability Integral inequality Picard operator https://ijnaa.semnan.ac.ir/article_3514_63fd6817160ec6464f7d75a15bd85c7f.pdf