This paper is devoted to study the existence of solution for a class of nonlinear differential equations with nonlocal boundary conditions involving the right Caputo and left Riemann--Liouville fractional derivatives. Our approach is based on Darbo's fixed point theorem associated with the Hausdorff measure of noncompactness. The obtained results generalize and extend some of the results found in the literature. Besides, the reported results concerned in the Banach space's sense. In the end, an example illustrates our acquired results.
Boutiara, A. (2021). Mixed fractional differential equation with nonlocal conditions in Banach spaces. Journal of Mathematical Modeling, 9(3), 451-463. doi: 10.22124/jmm.2021.18439.1582
MLA
Abdellatif Boutiara. "Mixed fractional differential equation with nonlocal conditions in Banach spaces". Journal of Mathematical Modeling, 9, 3, 2021, 451-463. doi: 10.22124/jmm.2021.18439.1582
HARVARD
Boutiara, A. (2021). 'Mixed fractional differential equation with nonlocal conditions in Banach spaces', Journal of Mathematical Modeling, 9(3), pp. 451-463. doi: 10.22124/jmm.2021.18439.1582
VANCOUVER
Boutiara, A. Mixed fractional differential equation with nonlocal conditions in Banach spaces. Journal of Mathematical Modeling, 2021; 9(3): 451-463. doi: 10.22124/jmm.2021.18439.1582
)