A nonlocal Cauchy problem for nonlinear fractional integro-differential equations with positive constant coefficient
عنوان مقاله: A nonlocal Cauchy problem for nonlinear fractional integro-differential equations with positive constant coefficient
شناسه ملی مقاله: JR_JMMO-7-1_009
منتشر شده در در سال 1398
شناسه ملی مقاله: JR_JMMO-7-1_009
منتشر شده در در سال 1398
مشخصات نویسندگان مقاله:
Shivaji Ramchandra Tate - Department of Mathematics, Kisan Veer Mahavidyalaya, Wai, India
Vinod Vijaykumar Kharat - Department of Mathematics, N.B. Navale Sinhgad College of Engg., Solapur, India
Hambirrao Tatyasaheb Dinde - Department of Mathematics, Karmaveer Bhaurao Patil College,Urun--Islampur, India
خلاصه مقاله:
Shivaji Ramchandra Tate - Department of Mathematics, Kisan Veer Mahavidyalaya, Wai, India
Vinod Vijaykumar Kharat - Department of Mathematics, N.B. Navale Sinhgad College of Engg., Solapur, India
Hambirrao Tatyasaheb Dinde - Department of Mathematics, Karmaveer Bhaurao Patil College,Urun--Islampur, India
In this paper, we study the existence, uniqueness and stability of solutions of a nonlocal Cauchy problem for nonlinear fractional integro-differential equations with positive constant coefficient. The results heavily depend on the Banach contraction principle, Schaefer's fixed point theorem and Pachpatte's integral inequality. In the last, results are illustrated with suitable example.
کلمات کلیدی: Fractional integro-differential equation, Existence of solution, Fixed point, Pachpatte۰۳۹;s integral inequality, Stability
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1995426/