Abstract
Abstract
The goal of this paper is to investigate existence of solutions for the multiterm nonlinear fractional q-integro-differential ${}^{c}D_{q}^{\alpha } u(t)$
D
q
α
c
u
(
t
)
in two modes equations and inclusions of order $\alpha\in(n -1, n]$
α
∈
(
n
−
1
,
n
]
, with non-separated boundary and initial boundary conditions where the natural number n is more than or equal to five. We consider a Carathéodory multivalued map and use Leray–Schauder and Covitz–Nadler famous fixed point theorems for finding solutions of the inclusion problems. Besides, we present results whenever the multifunctions are convex and nonconvex. Lastly, we give some examples illustrating the primary effects.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
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