Open AccessON FRACTIONAL DIFFERENTIAL INCLUSION PROBLEMS INVOLVING FRACTIONAL ORDER DERIVATIVE WITH RESPECT TO ANOTHER FUNCTION
Author(s) -
Samiha Belmor,
Fahd Jarad,
Thabet Abdeljawad,
Manar A. Alqudah
Publication year - 2020
Publication title -
fractals
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.654
H-Index - 44
eISSN - 1793-6543
pISSN - 0218-348X
DOI - 10.1142/s0218348x20400022
Subject(s) - mathematics , differential inclusion , fractional calculus , order (exchange) , function (biology) , boundary value problem , inclusion (mineral) , mathematical analysis , class (philosophy) , nonlinear system , value (mathematics) , derivative (finance) , boundary values , work (physics) , differential (mechanical device) , computer science , physics , statistics , finance , quantum mechanics , evolutionary biology , artificial intelligence , financial economics , economics , biology , thermodynamics
In this research work, we investigate the existence of solutions for a class of nonlinear boundary value problems for fractional-order differential inclusion with respect to another function. Endpoint theorem for [Formula: see text]-weak contractive maps is the main tool in determining our results. An example is presented in aim to illustrate the results.