Open AccessFractional differential equation with a complex potential
Author(s) -
Ekin Uğurlu,
Kenan Taşa,
Dumitru Băleanu
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/fil2005731u
Subject(s) - mathematics , integrable system , square integrable function , differential equation , function (biology) , mathematical analysis , universal differential equation , first order partial differential equation , pure mathematics , exact differential equation , evolutionary biology , biology
In this manuscript, we discuss the square-integrable property of a fractional differential equation having a complex-valued potential function and we show that at least one of the linearly independent solutions of the fractional differential equation must be squarely integrable with respect to some function containing the imaginary parts of the spectral parameter and the potential function.