Geodesic
On a class of non-local boundary value problem for a $\psi$-Hilfer non-linear fractional integro-differential equation
M. Latha Maheswari1 ; K. S. Keerthana Shri1 ; M. Latha Maheswari ; K. S. Keerthana Shri
1Department of Mathematics, PSG College of Arts & Science, Coimbatore, Tamil Nadu, India
Acta mathematica Universitatis Comenianae, Tome 92 (2023) no. 2, pp. 125-143 
M. Latha Maheswari; K. S. Keerthana Shri; M. Latha Maheswari; K. S. Keerthana Shri. On a class of non-local boundary value problem for a $\psi$-Hilfer non-linear fractional integro-differential equation. Acta mathematica Universitatis Comenianae, Tome 92 (2023) no. 2, pp. 125-143. http://geodesic.mathdoc.fr/item/AMUC_2023_92_2_a2/
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     author = {M. Latha Maheswari and K. S. Keerthana Shri and M. Latha Maheswari and K. S. Keerthana Shri},
     title = { On a class of non-local boundary value problem for a $\psi${-Hilfer} non-linear fractional integro-differential equation},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {125--143},
     year = {2023},
     volume = {92},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2023_92_2_a2/}
}
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Voir la notice de l'article provenant de la source Comenius University

In this paper, the existence, uniqueness, and stability of the solution of $\psi$-Hilfer non-linear fractional integro-differential equation with mixed boundary conditions are investigated. The existence and uniqueness are shown by Krasnosel'skii's fixed point theorem and Banach contraction principle under a special working space. Furthermore, the Ulam-Hyers-Rassias stability and semi Ulam-Hyers-Rassias stability of the solution are analysed. An example is given to illustrate the main results.