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A nonlocal Cauchy problem for nonlinear fractional integro-differential equations with positive constant coefficient | ||
Journal of Mathematical Modeling | ||
مقاله 18، دوره 7، شماره 1، خرداد 2019، صفحه 133-151 اصل مقاله (296.96 K) | ||
نوع مقاله: Research Article | ||
شناسه دیجیتال (DOI): 10.22124/jmm.2019.11580.1199 | ||
نویسندگان | ||
Shivaji Ramchandra Tate* 1؛ Vinod Vijaykumar Kharat2؛ Hambirrao Tatyasaheb Dinde3 | ||
1Department of Mathematics, Kisan Veer Mahavidyalaya, Wai, India | ||
2Department of Mathematics, N.B. Navale Sinhgad College of Engg., Solapur, India | ||
3Department of Mathematics, Karmaveer Bhaurao Patil College,Urun--Islampur, India | ||
چکیده | ||
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. | ||
کلیدواژهها | ||
Fractional integro-differential equation؛ Existence of solution؛ Fixed point؛ Pachpatte's integral inequality؛ Stability | ||
آمار تعداد مشاهده مقاله: 904 تعداد دریافت فایل اصل مقاله: 816 |