Nonlocal conformable fractional Cauchy problem with sectorial operator

Controllability of Mild Solution of Nonlocal Conformable Fractional Differential Equations

“…The proof of this result is essentially based on the conformable fractional Laplace transform. For the complete proof, one can see the works [20][21][22].…”

“…This novel fractional derivative is very simple and verifies all the properties of the classical deriva-tive. Actually, the conformable fractional derivative becomes the subject of many research contributions [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39].…”

“…For example in [20][21][22], the authors have proved the existence of mild solution for the following nonlocal conformable fractional Cauchy problem:…”

Nonlocal Conformable-Fractional Differential Equations with a Measure of Noncompactness in Banach Spaces

“…□ Remark 2. We note that eorem 2 improves eorem 3 in [18] because in eorem 2 we have not imposed the compactness of the family (T(t)) t>0 and the Lipshitz condition on the nonlocal part g.…”

“…is new fractional derivative quickly becomes the subject of many contributions in several areas of science [11][12][13][14][15][16][17][18][19][20][21][22]. Motivated by the better effect of the fractional derivative and simple properties of the conformable fractional derivative, we consider model (1) in the framework of conformable fractional calculus.…”