Stability analysis of nonlinear Hadamard fractional differential system |
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| Affiliation: | 1. School of Mathematics and Computer Science, Shanxi Normal University, Linfen, Shanxi 041004, People’s Republic of China;2. Mechatronics, Embedded Systems and Automation Lab, University of California, Merced, CA 95343, USA;3. College of Mathematics and System Science, Shandong University of Science and Technology, Qingdao, Shandong 266590, People’s Republic of China;1. College of Mathematics and Statistics, Chongqing Jiaotong University, Chongqing 400074, China;2. College of Electronic and Information Engineering, Southwest University, Chongqing 400715, PR China;3. Texas A&M University at Qatar, PO Box 23874, Doha, Qatar;1. Department of Mathematics, Guizhou University, Guizhou, Guiyang 550025, China;2. School of Mathematical Sciences, Qufu Normal University, Qufu 273165, Shandong, China;1. Department of Mathematics and General Sciences, Prince Sultan University, P.O. Box 66833, Riyadh 11586, Saudi Arabia;2. Department of Mathematics, Shaheed Benazir Bhutto University, Dir Upper 18000, Khyber Pakhtunkhwa, Pakistan;3. CONACyT-Tecnológico Nacional de México/CENIDET. Interior Internado Palmira S/N, Col. Palmira, C.P. Cuernavaca, Morelos 62490, México |
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| Abstract: | The stability of the zero solution of a class of nonlinear Hadamard type fractional differential system is investigated by utilizing a new fractional comparison principle. The novelty of this paper is based on some new fractional differential inequalities along the given nonlinear Hadamard fractional differential system. A comparison principle employing the new fractional differential inequality for scalar Hadamard fractional differential system is presented. Based on the new comparison principle, some sufficient conditions for the (generalized) stability and the (generalized) Mittag-Leffler stability are given. |
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