Mixed sequential type pantograph fractional integro-differential equations with non-local boundary conditions

M. Latha Maheswari ^[1] ; K. S. Keerthana Shri ^[1] ; K. Ravikumar ^[1]
1. [1] Department of Mathematics, PSG College of Arts and Science, Coimbatore
Localización: SeMA Journal: Boletín de la Sociedad Española de Matemática Aplicada, ISSN-e 2254-3902, ISSN 2254-3902, Vol. 81, Nº. 4, 2024, págs. 707-727
Idioma: inglés
DOI: 10.1007/s40324-023-00346-0
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Resumen
- In this paper, we investigate the existence, uniqueness and stability of solutions to the mixed sequential pantograph fractional integro-differential equations with non-local boundary conditions. The solution of the problem is obtained and the existence and uniqueness of the solution is tested by means of Krasnosel’skii’s fixed point theorem and the Banach contraction principle respectively. Moreover, the Ulam–Hyers and Ulam–Hyers–Rassias stability of the solution is determined. An example emphasising our findings is provided.