A study on Langevin equation with three different fractional orders

	A study on Langevin equation with three different fractional orders
International Journal of Nonlinear Analysis and Applications
دوره 12، Special Issue، اسفند 2021، صفحه 699-707 اصل مقاله (400.42 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.5412
نویسندگان
Rahmat Darzi؛ Abdolhadi Dabbaghian^*
Department of Mathematics, Neka Branch, Islamic Azad University, Neka, Iran
چکیده
Using a novel norm that is comfy for fractional and singular differential equations the existence and uniqueness of IVP for new type nonlinear Langevin equations involving three fractional orders are discussed. This norm is a tool to measure how far a numerical solution is from the exact one. New results are based on the contraction mapping principle. Lemma 2.2 has a prominent role in proving the main theorem. The fractional derivatives are described in Caputo sense. Two examples are presented to illustrate the theory.
کلیدواژه‌ها
Fractional Langevin equation؛ Fixed point theorem؛ Existence results
مراجع

آمار تعداد مشاهده مقاله: 44,421 تعداد دریافت فایل اصل مقاله: 51,057

پیوندهای مفید

آمار