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Ulam stabilities for nonlinear fractional integro--differential equations with constant coefficient via Pachpatte's inequality

عنوان مقاله: Ulam stabilities for nonlinear fractional integro--differential equations with constant coefficient via Pachpatte's inequality
شناسه ملی مقاله: JR_JMMO-8-3_004
منتشر شده در در سال 1399
مشخصات نویسندگان مقاله:

Shivaji Ramchandra Tate - Department of Mathematics, Kisan Veer Mahavidyalaya, Wai, India
Hambirrao Tatyasaheb Dinde - Department of Mathematics, Karmaveer Bhaurao Patil College, Urun--Islampur, India

خلاصه مقاله:
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.

کلمات کلیدی:
Boundary value conditions, Caputo's fractional derivative, Fixed point, integral inequality, Stability

صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1995378/