%0 Journal Article %T Ulam stabilities for nonlinear fractional integro--differential equations with constant coefficient via Pachpatte's inequality %J Journal of Mathematical Modeling %I University of Guilan %Z 2345-394X %A Tate, Shivaji Ramchandra %A Dinde, Hambirrao Tatyasaheb %D 2020 %\ 06/01/2020 %V 8 %N 3 %P 257-278 %! Ulam stabilities for nonlinear fractional integro--differential equations with constant coefficient via Pachpatte's inequality %K Boundary value conditions %K Caputo's fractional derivative %K Fixed point %K integral inequality %K Stability %R 10.22124/jmm.2020.15923.1392 %X In this article, we study some existence, uniqueness and Ulam type stability results for a class of boundary value problem for nonlinear fractional integro--differential equations with positive constant coefficient involving the Caputo fractional derivative. The main tools used in our analysis is based on Banach contraction principle, Schaefer's fixed point theorem and Pachpatte's integral inequality. Finally, results are illustrated with suitable example. %U https://jmm.guilan.ac.ir/article_4026_910843d75a47e8ac970737639bf5d7f1.pdf