A characterization of dichotomy in terms of boundedness of solutions for some Cauchy problems.
Linear impulsive dynamic systems on time scales.
Stability analysis of implicit fractional differential equations with anti-periodic integral boundary value problem
In this manuscript, we study the existence, uniqueness and various kinds of Ulam stability including Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability, and generalized Ulam-Hyers-Rassias stability of the solution to an implicit nonlinear fractional differential equations corresponding to an implicit integral boundary condition. We develop conditions for the existence and uniqueness by using the classical fixed point theorems such as Banach contraction principle...
Existence and stability analysis of nonlinear sequential coupled system of Caputo fractional differential equations with integral boundary conditions
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