Existence results and uniqueness for some Caputo-Hadamard fractional differential equations via the measures of noncompactness

Authors

• MANOCHEHR KAZEMIFollow
• MOHAMMAD ESMAEL SAMEIFollow
• HAMID REZA SAHEBIFollow
• OSMAN TUNÇFollow

Author ORCID Identifier

MANOCHEHR KAZEMI: 0000-0001-8392-6690

MOHAMMAD ESMAEL SAMEI: 0000-0002-5450-3127

HAMID REZA SAHEBI: 0000-0001-8258-6719

OSMAN TUNÇ: 0000-0003-2965-4561

Abstract

In this paper, the existence of solutions to Caputo–Hadamard fractional differential equations is investigated using measures of noncompactness and the Petryshyn fixed point theorem. Several new results are established, recovering certain earlier results under weaker conditions. Finally, two illustrative examples are presented.

DOI

10.55730/1300-0098.3659

Keywords

Measures of noncompactness, fractional functional integro-differential equation, nonlinear analysis, existence of solutions

First Page

407

Last Page

422

Publisher

The Scientific and Technological Research Council of Türkiye (TÜBİTAK)

Creative Commons License

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

Recommended Citation

KAZEMI, M, SAMEI, M, SAHEBI, H, & TUNÇ, O (2026). Existence results and uniqueness for some Caputo-Hadamard fractional differential equations via the measures of noncompactness. Turkish Journal of Mathematics 50 (3): 407-422. https://doi.org/10.55730/1300-0098.3659