Perturbed functional fractional differential equation of Caputo-Hadamard order
Mathematica Moravica, Tome 28 (2024) no. 1.
Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
In this paper, we investigate the existence of solution and extremal solutions for an initial-value problem of perturbed functional fractional differential equations with Caputo-Hadamard derivative. Our analysis relies on the fixed point theorem of Burton and Kirk and the concept of upper and lower solutions combined with a fixed point theorem in ordered Banach space established by Dhage and Henderson.
Mots-clés :
Fractional differential equation, Caputo-Hadamard fractional derivatives, Fixed point, Extremal solutions.
@article{MM3_2024_28_1_a1, author = {Samira Hamani}, title = {Perturbed functional fractional differential equation of {Caputo-Hadamard} order}, journal = {Mathematica Moravica}, pages = {17 - 28}, publisher = {mathdoc}, volume = {28}, number = {1}, year = {2024}, url = {https://geodesic-test.mathdoc.fr/item/MM3_2024_28_1_a1/} }
Samira Hamani. Perturbed functional fractional differential equation of Caputo-Hadamard order. Mathematica Moravica, Tome 28 (2024) no. 1. https://geodesic-test.mathdoc.fr/item/MM3_2024_28_1_a1/