Nonconvex fractional partial hyperbolic differential
inclusions with unbounded delay
M. Helal
The initial value problem for partial hyperbolic differential inclusions
with infinite delay when the right hand side is nonconvex valued described by the fractional
operator is considered in the present investigation. The used fractional operator is the Caputo
derivative. In the present paper, the fixed point theorem for contraction multivalued maps due
to Covitz and Nadler is used in existence investigations.
Advanced Studies: Euro-Tbilisi Mathematical Journal, Vol. 18(1) (2025), pp. 227-239
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