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Authors: MOHAMED HELAL.
DOI: 10.24193/subbmath.2022.4.03
Published Online: 2022-12-02
Published Print: 2022-12-30
pp. 703-716
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In this paper we investigate the existence of solutions of initial value problems (IVP for short), for partial hyperbolic functional and neutral differential inclusions of fractional order involving Caputo fractional derivative with finite delay by using the nonlinear alternative of Frigon type for multivalued admissible contraction in Fréchet spaces.
Mathematics Subject Classification (2010): 26A33, 34K30, 34K37, 35R11.
Keywords: Partial functional differential inclusion, fractional order, solution, left-sided mixed Riemann-Liouville integral, Caputo fractional-order derivative, finite delay, Fréchet space, fixed point.
