Fuzzy Functional Differential Equations under Dissipative-Type Conditions

On impulsive fuzzy functional differential equations

In this paper, we prove the existence and uniqueness of solution to the impulsive fuzzy functional differential equations under generalized Hukuhara differentiability via the principle of contraction mappings. Some examples are provided to illustrate the result.

Existence and uniqueness of cauchy problem for fuzzy differential equations under dissipative conditions

x'(t) = f ( t ,x( t ) ) , x(to) = xo, does not hold in general except in the special case where the fuzzy number space (E '~, D) is finite dimensional [1] or f is assumed to be continuous and bounded [2]. In this paper, the dissipative-type conditions which guarantee the existence theorem for Peano are specified based on the existence theorem of approximate solutions to above Cauchy problem. @ ...

Random fractional functional differential equations

In this paper, we prove the existence and uniqueness results to the random fractional functional differential equations under assumptions more general than the Lipschitz type condition. Moreover, the distance between exact solution and appropriate solution, and the existence extremal solution of the problem is also considered.

Flow equations for dissipative quantum systems under non-equilibrium conditions

Flow equations for dissipative quantum systems under non-equilibrium conditions This work investigates dissipative quantum systems by means of flow equations for Hamiltonians. We consider the time evolution of two models out of non-equilibrium initial states. As a first application the dis-sipative harmonic oscillator will be solved exactly. The insights gained will be used in the second and no...

Impulsive Functional-differential Equations with Nonlocal Conditions