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Long time behavior for a nonlinear fractional model
Authors:Khaled M. Furati
Affiliation:King Fahd University of Petroleum and Minerals, Department of Mathematical Sciences, Dhahran 31261, Saudi Arabia
Abstract:The asymptotic behavior for solutions of a weighted Cauchy-type nonlinear fractional problem is investigated. We find bounds for solutions on infinite time intervals and also provide sufficient conditions assuring decay to zero. This work improves earlier results by the same authors.
Keywords:Fractional differential equation   Riemann-Liouville integral   Singular kernel   Weighted Cauchy-type problem
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