Geodesic
Existence and uniqueness results for sequential $\psi$-Hilfer fractional differential equations with multi-point boundary conditions
Sotiris K. Ntouyas1 ; Devaraj Vivek2 ; Sotiris K. Ntouyas ; Devaraj Vivek
1Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece; Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
2Department of Mathematics, PSG College of Arts & Science, Coimbatore, India
Acta mathematica Universitatis Comenianae, Tome 90 (2021) no. 2, pp. 171-185 
Sotiris K. Ntouyas; Devaraj Vivek; Sotiris K. Ntouyas; Devaraj Vivek. Existence and uniqueness results for sequential $\psi$-Hilfer fractional  differential equations with multi-point boundary conditions. Acta mathematica Universitatis Comenianae, Tome 90 (2021) no. 2, pp. 171-185. http://geodesic.mathdoc.fr/item/AMUC_2021_90_2_a3/
@article{AMUC_2021_90_2_a3,
     author = {Sotiris K. Ntouyas and Devaraj Vivek and Sotiris K. Ntouyas and Devaraj Vivek},
     title = { Existence and uniqueness results for sequential $\psi${-Hilfer} fractional  differential equations with multi-point boundary conditions},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {171--185},
     year = {2021},
     volume = {90},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2021_90_2_a3/}
}
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In this paper, we study multi-point boundary value problems for sequential fractional differential equations involving $\psi$-Hilfer fractional derivative. Existence and uniqueness results are obtained by using the classical fixed point theorems of Banach, Krasnoselskii and the nonlinear alternative of Leray-Schauder. Examples illustrating our results are also presented.