Existence of nondensely defined evolution equations with nonlocal conditions

Nonlocal Problems for Fractional Differential Equations via Resolvent Operators

“…Many authors developed different techniques and methods to solve this problem. For more details on this topic, we refer to [10,11,[22][23][24][25][26][27][28][29][30][31][32][33] and references therein.…”

Existence results for impulsive differential equations with nonlocal conditions via measures of noncompactness

“…[6,7,8,13,17,18,19,23,28]. It is more precise for describing nature phenomena than the classical condition since more information is taken into account, thereby decreasing the negative effects incurred by a possibly erroneous single measurement taken at the initial time.…”

“…Recently, Z. Fan [18] proved the existence of integral solutions for the following partial differential equations with nonlocal conditions…”

“…The present paper is motivated by the recent papers of Z. Fan [18,19]. We use some hypothesis in [18,19], and using the method of Hausdorff's measure of noncompactness, we give the existence of integral solution of impulsive differential equation with nonlocal conditions (1.1)-(1.3).…”

“…We use some hypothesis in [18,19], and using the method of Hausdorff's measure of noncompactness, we give the existence of integral solution of impulsive differential equation with nonlocal conditions (1.1)-(1.3). The results obtained in this paper are generalizations of the results given by [12,18,19,23,24].…”