Open AccessExistence results for some fractional differential equations related to A ∈ B(L2[a, b])
Author(s) -
Eshkaftaki Ali Bayati
Publication year - 2020
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2004067b
Subject(s) - mathematics , uniqueness , volterra integral equation , operator (biology) , integral equation , fractional calculus , mathematical analysis , volterra equations , differential equation , work (physics) , nonlinear system , mechanical engineering , biochemistry , chemistry , physics , repressor , quantum mechanics , transcription factor , engineering , gene
In this paper we define the (generalized) linear Volterra integral operator on L2[a, b]. Then the problem of existence and uniqueness of solutions of the second kind Volterra integral equations, corresponding to this operator, will be answered. Finally, some applications of this work to the existence of solutions of some fractional differential equations, are given.