Impulsive mild solutions for semilinear differential inclusions with nonlocal conditions in Banach spaces

On Semicontinuous Nonclassical Ordinary Differential Inclusions with Nonlocal Condition

“…Results obtained here generalize analogous results due to the references (Aitalioubrahim, 2011;Cardinali et al, 2008;Cardinali and Rubbioni, 2012) which concern classical ordinary differential equations and some of the results of Bishop et al (2016). Hence this will be an extension of the results on Quantum Stochastic Differential Inclusion (QSDI) in the literature.…”

“…See (Aitalioubrahim, 2011;Boucherif, 2009;Gatsori et al, 2004;Zhu and Li, 2008). (Cardinali et al, 2008;Cardinali and Rubbioni, 2012), established some results on local mild solutions and impulsive mild solutions for semilinear inclusions. Aitalioubrahim (2011) established some new results on mild solution of semilinear noncovex differential inclusion.…”

Existence of Mild Solutions and Controllability of Fractional Impulsive Integrodifferential Systems with Nonlocal Conditions

“…In recent decades, existence of mild solutions of nonlocal Cauchy problems has been investigated extensively by many researchers (see [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15] and the references cited therein). The study of abstract nonlocal semilinear initial value problems was initiated by Byszewski and Lakshmikantham [11] and Byszewski [12].…”

Mild Solutions for Nonlocal Impulsive Fractional Semilinear Differential Inclusions with Delay in Banach Spaces

“…The nonlocal condition can be applied in physics with better effect than the clas- For the applications of nonlocal conditions problems we refer to [19,20]. In the few past years, several papers have been devoted to study the existence of solutions for differential equations or differential inclusions with nonlocal conditions [21][22][23]. For impulsive differential equation or inclusions with nonlocal conditions of order one we refer to [22,23].…”

“…In the few past years, several papers have been devoted to study the existence of solutions for differential equations or differential inclusions with nonlocal conditions [21][22][23]. For impulsive differential equation or inclusions with nonlocal conditions of order one we refer to [22,23]. For impulsive differential equation or inclusions of fractional order we refer to [10,[24][25][26][27] and the references therein.…”