TY - JOUR ID - 3009 TI - On the mild solution for nonlocal impulsive fractional semilinear differential inclusion in Banach spaces JO - Journal of Mathematical Modeling JA - JMM LA - en SN - 2345-394X AU - Alsarori, Nawal A. AU - Ghadle, Kirtiwant P. AD - Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, 431004(MS), India Y1 - 2018 PY - 2018 VL - 6 IS - 2 SP - 239 EP - 258 KW - Impulsive fractional differential inclusions KW - nonlocal conditions KW - fixed point theorems KW - mild solutions DO - 10.22124/jmm.2018.10981.1177 N2 - This paper gives existence results for impulsive fractional semilinear differential inclusions involving Caputo derivative in Banach spaces. We are concerned with the case when the linear part generates a semigroup not necessarily compact, and the multivalued function is upper semicontinuous and compact. The methods used throughout the paper range over applications of Hausdorff measure of noncompactness, and multivalued fixed point theorems. Finally, we provide an example to clarify our results. UR - https://jmm.guilan.ac.ir/article_3009.html L1 - https://jmm.guilan.ac.ir/article_3009_a8cdc0708b1429393b53a7bb953089f9.pdf ER -