Geodesic
Solvability of (P, Q)-functional integral equations of fractional order using generalized Darbo's fixed point theorem
Filomat, Tome 37 (2023) no. 23, p. 7849

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

In this article, we establish a generalized version of Darbo's fixed point theorem via some newly defined condensing operators and we define a new fractional integral using (P, Q)-calculus and study its properties. Finally, we apply this generalized Darbo's fixed point theorem to check the existence of a solution of (P, Q)-functional integral equations of fractional order in a Banach space. We explain the results with the help of simple examples.
DOI : 10.2298/FIL2323849D
Classification : 34A34, 46B45, 47H10
Keywords: Measure of noncompactness, Hausdorff measure of noncompactness, Integral equations, Darbo’s fixed point theorem 
Anupam Das; Bipan Hazarika; Mohammad Mursaleen; Hemant Kumar Nashine; Vahid Parvaneh. Solvability of (P, Q)-functional integral equations of fractional order using generalized Darbo's fixed point theorem. Filomat, Tome 37 (2023) no. 23, p. 7849 . doi: 10.2298/FIL2323849D
@article{10_2298_FIL2323849D,
     author = {Anupam Das and Bipan Hazarika and Mohammad Mursaleen and Hemant Kumar Nashine and Vahid Parvaneh},
     title = {Solvability of {(P,} {Q)-functional} integral equations of fractional order using generalized {Darbo's} fixed point theorem},
     journal = {Filomat},
     pages = {7849 },
     year = {2023},
     volume = {37},
     number = {23},
     doi = {10.2298/FIL2323849D},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2323849D/}
}
TY  - JOUR
AU  - Anupam Das
AU  - Bipan Hazarika
AU  - Mohammad Mursaleen
AU  - Hemant Kumar Nashine
AU  - Vahid Parvaneh
TI  - Solvability of (P, Q)-functional integral equations of fractional order using generalized Darbo's fixed point theorem
JO  - Filomat
PY  - 2023
SP  - 7849 
VL  - 37
IS  - 23
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2323849D/
DO  - 10.2298/FIL2323849D
LA  - en
ID  - 10_2298_FIL2323849D
ER  - 
%0 Journal Article
%A Anupam Das
%A Bipan Hazarika
%A Mohammad Mursaleen
%A Hemant Kumar Nashine
%A Vahid Parvaneh
%T Solvability of (P, Q)-functional integral equations of fractional order using generalized Darbo's fixed point theorem
%J Filomat
%D 2023
%P 7849 
%V 37
%N 23
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2323849D/
%R 10.2298/FIL2323849D
%G en
%F 10_2298_FIL2323849D

Cité par Sources :