New results on the controllability for fractional integrodifferential equations with nonlocal conditions via measure of noncompactness
Nafy NGOM 1, Mbarack FALL 1, Khalil Ezzinbi 3 and Mamadou Abdoul DIOP 1,2
1 Université Gaston Berger de Saint-Louis, UFR SAT Département de Mathématiques, B.P. 234,
Saint-Louis, Sénégal
2 UMMISCO UMI 209 IRD/UPMC, Bondy, France
3 Faculté des Sciences Semlalia, Département de Mathématiques, Université Cadi Ayyad, Marrakesh B.P.2390, Morocco
Received on January 9, 2026, revised on January 13, 2026
Accepted on January 13, 2026
Communicated by Gaston M. N'Guérékata
| Abstract. In this paper, we consider a nonlinear fractional integrodifferential equation with the Caputo fractional derivative and discuss the controllability of its solutions. By applying Mönch’s fixed point Theorem, the resolvent operator in the Grimmer sense, and the measure of noncompactness, we obtain sufficient conditions for the controllability of solutions. To verify the accuracy and efficiency of the analytical results, we provide an example to show how the solution behaves with respect to different fractional orders, nonlinearities and boundary conditions. | |
| Keywords: | Fractional integrodifferential equations, controllability, resolvent operator, measures of non-compactness, fixed point theorems, nonlocal conditions. |
| 2010 Mathematics Subject Classification: 34K06, 34A12, 37L05, 93B05. | |
This article is not yet published, it will be available for download soon.