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Results on the existence of Hilfer fractional neutral evolution equations with infinite delay via measures of noncompactness
Author(s) -
Kavitha K.,
Vijayakumar V.,
Udhayakumar R.,
Nisar Kottakkaran Sooppy
Publication year - 2020
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.6843
Subject(s) - mathematics , fractional calculus , fixed point theorem , point (geometry) , fixed point , calculus (dental) , mathematical analysis , geometry , medicine , dentistry
In this manuscript, we are mainly focusing on the existence of mild solutions for the Hilfer fractional evolution system with infinite delay via measures of noncompactness. Fractional calculus and fixed‐point approach are taken into consideration to study the primary outcomes. Finally, we extend the results to the existence of a neutral system with nonlocal conditions. Ultimately, a model is presented for illustration of theory.