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Exact Solutions and Finite Time Stability of Linear Conformable Fractional Systems with Pure Delay
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作者 Ahmed M.Elshenhab Xingtao Wang +1 位作者 Fatemah Mofarreh Omar Bazighifan 《Computer Modeling in Engineering & Sciences》 SCIE EI 2023年第2期927-940,共14页
We study nonhomogeneous systems of linear conformable fractional differential equations with pure delay.By using new conformable delayed matrix functions and the method of variation,we obtain a representation of their... We study nonhomogeneous systems of linear conformable fractional differential equations with pure delay.By using new conformable delayed matrix functions and the method of variation,we obtain a representation of their solutions.As an application,we derive a finite time stability result using the representation of solutions and a norm estimation of the conformable delayedmatrix functions.The obtained results are new,and they extend and improve some existing ones.Finally,an example is presented to illustrate the validity of our theoretical results. 展开更多
关键词 Representation of solutions conformable fractional derivative conformable delayed matrix function conformable fractional delay differential equations finite time stability
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ALMOST AUTOMORPHIC MILD SOLUTIONS TO SOME FRACTIONAL DELAY DIFFERENTIAL EQUATIONS 被引量:2
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作者 Xiliang Li 1,Fenglong Qu 2,Yuliang Han 1(1.College of Math.and Information Sciences,Shandong Institute of Business and Technology,Yantai 264005,Shandong 2.School of Math.and Informational Science,Yantai University,Yantai 264005,Shandong) 《Annals of Differential Equations》 2012年第4期412-416,共5页
In this paper,a new and general existence and uniqueness theorem of almost automorphic mild solutions is obtained for some fractional delay differential equations,using sectorial operators and the Banach contraction p... In this paper,a new and general existence and uniqueness theorem of almost automorphic mild solutions is obtained for some fractional delay differential equations,using sectorial operators and the Banach contraction principle. 展开更多
关键词 sectorial operator almost automorphy fractional delay differential equation
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Dependence Analysis of the Solutions on the Parameters of Fractional Delay Differential Equations
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作者 Shuiping Yang Aiguo Xiao Xinyuan Pan 《Advances in Applied Mathematics and Mechanics》 SCIE 2011年第5期586-597,共12页
In this paper,we investigate the dependence of the solutions on the parameters(order,initial function,right-hand function)of fractional delay differential equations(FDDEs)with the Caputo fractional derivative.Some res... In this paper,we investigate the dependence of the solutions on the parameters(order,initial function,right-hand function)of fractional delay differential equations(FDDEs)with the Caputo fractional derivative.Some results including an estimate of the solutions of FDDEs are given respectively.Theoretical results are verified by some numerical examples. 展开更多
关键词 fractional delay differential equation Caputo fractional derivative DEPENDENCE
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