A coupled system of Riemann-Liouville type fractional Langevin equations with nonlocal multi-point and multi-strip coupled boundary conditions
Acta mathematica Universitatis Comenianae, Tome 94 (2025) no. 3, pp. 161-180
Ahmed Alsaedi; Hafed A. Saeed; Bashir Ahmad; Sotiris K. Ntouyas; Ahmed Alsaedi; Hafed A. Saeed; Bashir Ahmad; Sotiris K. Ntouyas. A  coupled  system of Riemann-Liouville type fractional Langevin equations with nonlocal multi-point and multi-strip coupled boundary conditions. Acta mathematica Universitatis Comenianae, Tome 94 (2025) no. 3, pp. 161-180. http://geodesic.mathdoc.fr/item/AMUC_2025_94_3_a2/
@article{AMUC_2025_94_3_a2,
     author = {Ahmed Alsaedi and Hafed A. Saeed and Bashir Ahmad and Sotiris K. Ntouyas and Ahmed Alsaedi and Hafed A. Saeed and Bashir Ahmad and Sotiris K. Ntouyas},
     title = { A  coupled  system of {Riemann-Liouville} type fractional {Langevin} equations with nonlocal multi-point and multi-strip coupled boundary conditions},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {161--180},
     year = {2025},
     volume = {94},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2025_94_3_a2/}
}
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%A Hafed A. Saeed
%A Bashir Ahmad
%A Sotiris K. Ntouyas
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%J Acta mathematica Universitatis Comenianae
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In this paper, we investigate the existence and uniqueness of solutions for a coupled system of nonlinear Riemann–Liouville type fractional Langevin equations equipped with nonlocal multi-point and multi-strip coupled boundary conditions. We make use of the Leray-Schauder's alternative and Banach's fixed point theorem to derive the desired results, which are well-illustrated with examples. Our results are useful in the given configuration and enrich the literature on boundary value problems for fractional Langevin equations.