Author:
Abbas Mohamed I., ,Hristova Snezhana,
Abstract
<abstract><p>The present paper is concerned with the existence of solutions of a new class of nonlinear generalized proportional fractional differential inclusions with the right-hand side contains a Carathèodory-type multi-valued nonlinearity on infinite intervals. The investigation of the proposed inclusion problem relies on the multi-valued form of Leray-Schauder nonlinear alternative incorporated with the diagonalization technique. By specializing the parameters involved in the problem at hand, an illustrated example is proposed.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
Reference22 articles.
1. R. P. Agarwal, M. Benchohra, S. Hamani, S. Pinelas, Boundary value problem for differential equations involving Riemann-Liouville fractional derivative on the half line, A Math. Anal, 18 (2011), 235–244.
2. B. Ahmad, A. Alsaedi, S. K. Ntouyas, H. H. Al-Sulami, On neutral functional differential inclusions involving Hadamard fractional derivatives, Mathematics, 7 (2019), 1084.
3. J. Alzabut, T. Abdeljawad, F. Jarad, W. Sudsutad, A Gronwall inequality via the generalized proportional fractional derivative with applications, J. Inequal. Appl., 1 (2019), 1–12.
4. D. Baleanu, K. Diethelm, E. Scalas, J. J. Trujillo, Fractional calculus models and numerical methods, Singapore: World Scientific, 2012.
5. M. Benchohra, J. R. Graef, N. Guerraiche, S. Hamani, Nonlinear boundary value problems for fractional differential inclusions with Caputo-Hadamard derivatives on the half line, AIMS Mathematics, 6 (2021), 6278–6292.
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