TY - JOUR
T1 - New interpretation of topological degree method of Hilfer fractional neutral functional integro-differential equation with nonlocal condition
AU - Muthuselvan, Kanagaraj
AU - Sundaravadivoo, Baskar
AU - Alsaeed, Suliman
AU - Nisar, Kottakkaran Sooppy
N1 - Publisher Copyright:
© 2023 the Author(s), licensee AIMS Press.
PY - 2023
Y1 - 2023
N2 - This manuscript deals with the concept of Hilfer fractional neutral functional integro-differential equation with a nonlocal condition. The solution representation of a given system is obtained from the strongly continuous operator, linear operator and bounded operator, as well as the Wright type of function. The sufficient and necessary conditions for the existence of a solution are attained using the topological degree method. The uniqueness of the solution is attained by Gronwall’s inequality. Finally, we employed some specific numerical computations to examine the effectiveness of the results.
AB - This manuscript deals with the concept of Hilfer fractional neutral functional integro-differential equation with a nonlocal condition. The solution representation of a given system is obtained from the strongly continuous operator, linear operator and bounded operator, as well as the Wright type of function. The sufficient and necessary conditions for the existence of a solution are attained using the topological degree method. The uniqueness of the solution is attained by Gronwall’s inequality. Finally, we employed some specific numerical computations to examine the effectiveness of the results.
KW - existence and uniqueness
KW - Gronwall’s inequality
KW - Hilfer fractional derivative
KW - Kuratowski measure of non-compactness
KW - nonlocal condition
UR - https://www.scopus.com/pages/publications/85159158456
U2 - 10.3934/math.2023876
DO - 10.3934/math.2023876
M3 - Article
AN - SCOPUS:85159158456
SN - 2473-6988
VL - 8
SP - 17154
EP - 17170
JO - AIMS Mathematics
JF - AIMS Mathematics
IS - 7
ER -