TY - JOUR ID - 9455 TI - Impulsive initial value problems for a class of implicit fractional differential equations JO - Computational Methods for Differential Equations JA - CMDE LA - en SN - 2345-3982 AU - Shaikh, Amjad S. AU - Sontakke, Bhausaheb R. AD - Department of Mathematics, AKI's Poona College of Arts, Science and Commerce, Camp, Pune, India AD - Department of Mathematics, Pratishthan Mahavidyalaya, Paithan, Dist. Aurangabad, India Y1 - 2020 PY - 2020 VL - 8 IS - 1 SP - 141 EP - 154 KW - Initial value problem KW - Implicit fractional differential equations KW - Impulses KW - fixed point theorem DO - 10.22034/cmde.2019.9455 N2 - In this article we consider, impulsive initial value problems for a class of implicit fractional differential equations involving the Caputo fractional derivative of order β in (1,2]. The solutions of this nonlinear equation are analyzed by establishing sufficient conditions for existence and uniqueness using Banach's contraction mapping principle and the Schaefer's fixed point theorem. In addition, using the Banach contraction principle, we establish uniqueness result. To demonstrate main results two examples are presented. UR - https://cmde.tabrizu.ac.ir/article_9455.html L1 - https://cmde.tabrizu.ac.ir/article_9455_c809eb601105b6b16deefc7e7664ae68.pdf ER -