Some results on impulsive boundary value problem for fractional differential inclusions

Impulsive fractional differential inclusions with flux boundary conditions

“…That is why, it is owing to the fact that each of fractional calculus and impulsive theory serves very practical instruments for mathematical modeling of many concepts in different branches of science and engineering [1][2][3][4][5][6][7]. See [8][9][10][11][12][13][14][15][16][17][18][19][20][21] for some recent works on fractional differential equations and inclusions, and see [22][23][24][25][26][27][28][29][30][31] for the ones on impulsive fractional differential equations and inclusions.…”

On the concept of general solution for impulsive differential equations of fractional-orderq∈ (2,3)

“…There have appeared many papers focused on the subject of impulsive differential equations with Caputo fractional derivative [20][21][22][23][24][25][26][27][28][29][30][31].…”

The General Solution of Impulsive Systems with Caputo-Hadamard Fractional Derivative of Orderq∈C (R(q)∈(Zhang1, Zhang2, Liu3 et al. 2016Mathematical Problems in Engineering6090View full textAdd to dashboardCite

“…Furthermore, impulsive differential equations are utilized as a valuable tool to describe the dynamics of processes in which sudden, discontinuous jumps occur, and impulsive differential equations with Caputo fractional derivative were widely researched in [10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26]. Next, the general solutions of several kinds of impulsive fractional differential equations have been found in [27][28][29][30], respectively.…”