EXISTENCE OF MILD SOLUTIONS FOR ATANGANA-BALEANU RETARDED FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS

Abderrahim Kraita

doi:10.5269/bspm.83004

EXISTENCE OF MILD SOLUTIONS FOR ATANGANA-BALEANU RETARDED FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS

Authors

Abderrahim Kraita Mohammed V University, LabMIA-SI, Department of Mathematics, Faculty of Sciences, Mohammed V University in Rabat, Rabat, Morocco.

DOI:

https://doi.org/10.5269/bspm.83004

Abstract

In the present paper, we investigate the existence of mild solutions for retarded semilinear fractional differential equations subject to nonlocal conditions in a Banach space. The results are obtained by applying the Schauder fixed point theorem and Gr¨onwall’s inequality, under suitable assumptions. Finally, an example is provided to illustrate and justify the theoretical results.

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Published

2026-07-01

Issue

Vol. 44 No. 18 (2026): Recent Advances in Applied Mathematics, Modeling, and Engineering

Section

Conf. Issue: Recent Advances in Applied Mathematics, Modeling, and Engineering

License

This work is licensed under a Creative Commons Attribution 4.0 International License.

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

How to Cite

Kraita, A. (2026). EXISTENCE OF MILD SOLUTIONS FOR ATANGANA-BALEANU RETARDED FRACTIONAL DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITIONS. Boletim Da Sociedade Paranaense De Matemática, 44(18), 1-9. https://doi.org/10.5269/bspm.83004