TY - JOUR
T1 - Existence, uniqueness, continuous dependence on the data for the product of n-fractional integral equations in Orlicz spaces
AU - Alotaibi, Abdulaziz M.
AU - Metwali, Mohamed M.A.
AU - Taha, Hala H.
AU - Agarwal, Ravi P.
N1 - Publisher Copyright:
© 2025 the Author(s), licensee AIMS Press.
PY - 2025
Y1 - 2025
N2 - In this manuscript, the measure of noncompactness, the fixed-point theorem, as well as fractional calculus, are used to carry out the analysis of the solvability of a product of n-quadratic Erdélyi-Kober (EK) fractional-type integral equations in Orlicz spaces Lφ. Several qualitative properties of the solution for the studied problem are established, such as the existence, monotonicity, uniqueness, and continuous dependence on the data. We conclude with some examples that illustrate our hypothesis.
AB - In this manuscript, the measure of noncompactness, the fixed-point theorem, as well as fractional calculus, are used to carry out the analysis of the solvability of a product of n-quadratic Erdélyi-Kober (EK) fractional-type integral equations in Orlicz spaces Lφ. Several qualitative properties of the solution for the studied problem are established, such as the existence, monotonicity, uniqueness, and continuous dependence on the data. We conclude with some examples that illustrate our hypothesis.
KW - Erdélyi-Kober (EK) fractional operator
KW - fixed-point theorem (FPT)
KW - measure of noncompactness
KW - Orlicz spaces
UR - http://www.scopus.com/inward/record.url?scp=105003565871&partnerID=8YFLogxK
U2 - 10.3934/math.2025386
DO - 10.3934/math.2025386
M3 - Article
AN - SCOPUS:105003565871
SN - 2473-6988
VL - 10
SP - 8382
EP - 8397
JO - AIMS Mathematics
JF - AIMS Mathematics
IS - 4
ER -