TY - JOUR
T1 - Hybrid Differential Inclusion Involving Two Multi-Valuedoperators with Nonlocal Multi-Valued Integral Condition
AU - Salem, Ahmed
AU - Al-Dosari, Aeshah
N1 - Publisher Copyright:
© 2022 by the authors. Licensee MDPI, Basel, Switzerland.
PY - 2022/2
Y1 - 2022/2
N2 - The present paper is devoted to the existence of solution for the Hybrid differential inclusions of the second type. Here, we present the inclusion problem with two multi-valued maps. In addition, it is considered with nonlocal integral boundary condition η(0) ∈∫ σ 0 ∆(s, η(s))ds, where ∆ is a multi-valued map. Relative compactness of the set∫ σ 0∆(s,η(s))dsinL2 ((0, ε), R) is used to justify the condensing condition for some created operators. Fixed point theorems connected with the weak compactness manner is utilized to explore the results throughout this paper.
AB - The present paper is devoted to the existence of solution for the Hybrid differential inclusions of the second type. Here, we present the inclusion problem with two multi-valued maps. In addition, it is considered with nonlocal integral boundary condition η(0) ∈∫ σ 0 ∆(s, η(s))ds, where ∆ is a multi-valued map. Relative compactness of the set∫ σ 0∆(s,η(s))dsinL2 ((0, ε), R) is used to justify the condensing condition for some created operators. Fixed point theorems connected with the weak compactness manner is utilized to explore the results throughout this paper.
KW - Compactness and noncompactness
KW - Existence and uniqueness
KW - Hybrid fractional inclusion
KW - Multi-condition
KW - Multi-operators
UR - http://www.scopus.com/inward/record.url?scp=85124818064&partnerID=8YFLogxK
U2 - 10.3390/fractalfract6020109
DO - 10.3390/fractalfract6020109
M3 - Article
AN - SCOPUS:85124818064
SN - 2504-3110
VL - 6
JO - Fractal and Fractional
JF - Fractal and Fractional
IS - 2
M1 - 109
ER -