Open AccessEXISTENCE THEORY TO A CLASS OF FRACTIONAL ORDER HYBRID DIFFERENTIAL EQUATIONS
Author(s) -
Muhammad Naeem Jan,
Gul Zaman,
Imtiaz Ahmad,
Nigar Ali,
Kottakkaran Sooppy Nisar,
AbdelHaleem AbdelAty,
Mohammed Zakarya
Publication year - 2021
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/s0218348x22400229
Subject(s) - mathematics , uniqueness , class (philosophy) , order (exchange) , fixed point theorem , differential equation , boundary value problem , mathematical analysis , fixed point index , pure mathematics , computer science , finance , artificial intelligence , economics
In this paper, we develop the theory of fractional order hybrid differential equations involving Riemann–Liouville differential operators of order [Formula: see text]. We study the existence theory to a class of boundary value problems for fractional order hybrid differential equations. The sum of three operators is used to prove the key results for a couple of hybrid fixed point theorems. We obtain sufficient conditions for the existence and uniqueness of positive solutions. Moreover, examples are also presented to show the significance of the results.