TY - JOUR
ID - 597
TI - Extremal Positive Solutions For The Distributed Order Fractional Hybrid Differential Equations
JO - Computational Methods for Differential Equations
JA - CMDE
LA - en
SN - 2345-3982
AU - Noroozi, Hossein
AU - Ansari, Alireza
AD - Shahrekord University
Y1 - 2013
PY - 2013
VL - 1
IS - 2
SP - 120
EP - 134
KW - Fractional hybrid differential equations
KW - Distributed order
KW - Extremal solutions
KW - Banach algebra
DO -
N2 - In this article, we prove the existence of extremal positive solution for the distributed order fractional hybrid differential equation$$int_{0}^{1}b(q)D^{q}[frac{x(t)}{f(t,x(t))}]dq=g(t,x(t)),$$using a fixed point theorem in the Banach algebras. This proof is given in two cases of the continuous and discontinuous function $g$, under the generalized Lipschitz and Caratheodory conditions.
UR - https://cmde.tabrizu.ac.ir/article_597.html
L1 - https://cmde.tabrizu.ac.ir/article_597_aec82c22b058d25675f6cd533c9fac23.pdf
ER -