This paper deals with the existence of solutions for a class of partial hyperbolic differential equations of fractional order involving mixed partial Caputo fractional derivatives with infinite delay on unbounded domains. The qualitative analysis is conducted within an abstract Fréchet space topology governed by the phase space axioms of Hale and Kato to track the infinite history profile. By using a generalization of the classical Darbo fixed point theorem associated with a synchronized sequence of localized measures of noncompactness, we avoid restrictive complete compactness requirements to establish the main existence results. We provide an nontrivial example featuring an exponential damping structure to illustrate the applicability of our results across all compact layers.
Mohamed, H. (2026). Measure of Noncompactness for Fractional Partial Hyperbolic Differential Equations with Unbounded Delay. (e742895). Mathematics and Computational Sciences, (), e742895 https://doi.org/10.30511/mcs.2026.2083698.1706
MLA
Mohamed, H. "Measure of Noncompactness for Fractional Partial Hyperbolic Differential Equations with Unbounded Delay" .e742895 , Mathematics and Computational Sciences, , 2026, e742895. doi: 10.30511/mcs.2026.2083698.1706
HARVARD
Mohamed, H. (2026). 'Measure of Noncompactness for Fractional Partial Hyperbolic Differential Equations with Unbounded Delay', Mathematics and Computational Sciences, (), e742895. doi: 10.30511/mcs.2026.2083698.1706
CHICAGO
Mohamed, H., "Measure of Noncompactness for Fractional Partial Hyperbolic Differential Equations with Unbounded Delay." Mathematics and Computational Sciences, (2026): e742895, doi: 10.30511/mcs.2026.2083698.1706
VANCOUVER
Mohamed H. Measure of Noncompactness for Fractional Partial Hyperbolic Differential Equations with Unbounded Delay. MCS. 2026;():e742895. doi: 10.30511/mcs.2026.2083698.1706
