[PDF] Top 20 On Cauchy problems for fuzzy differential equations

... of fuzzy differential and integral equations, existence and uniqueness theorems for the solutions of fuzzy initial value problems, drew upon the interest of many researchers of the fuzzy ... See full document

... of fuzzy fractional calculus and fuzzy fractional differential equations has emerged as the significant subject, and this new theory has become very attractive to many scien- ...of fuzzy type ... See full document

... of Cauchy problems of differential equations involving Caputo fractional derivative, Riemann-Liouville and Hadamard fractional derivatives with order q ∈ ( 0, 1 ) ...fractional ... See full document

... physical problems and have plenty of ...differential equations and then was studied by many researches [9, 12, 16, ...differential equations, referred as local fractional differential equations ... See full document

... value problems and other functional equa- tions are established in [, ...the Cauchy problem is considered in [–] for some classes of nonlinear singular functional differential ...value problems ... See full document

... In Section , under the generalized Lipschitz condition and dissipative condition, we proved the existence and uniqueness of the solution to both kinds of FFDE (.). In this section, we prove the existence and ... See full document

... the Cauchy problem for func- tional differential equations, therefore, should be put amongst the other boundary value problems because the question on its solvability is almost as far from being ... See full document

... [1], differential- difference Equation (1) concerns to type mixed diffe- rential-difference equation without a deviation on ...parabolic differential-difference the equations arise in the ... See full document

... a Fuzzy Partial Differential Equations ...of fuzzy reaction-diffusion equation (FRDE) by using the properties of fuzzy set ...given problems and to illustrate the efficiency and ... See full document

... In 1992, Liao [13] employed the basic ideas of the homotopy in topology to propose a general analytic method for nonlinear problems, namely HAM, [14, 15, 16]. Abbasbandy and Allahvi- ranloo [1, 2, 6] applied ... See full document

... order fuzzy differential equations (FDE) with fuzzy initial value, under strongly generalized H-differentiability is ...order fuzzy differential equations by extending ... See full document

... fractional differential equations, we refer the reader to [7, 8, 10] and the references cited ...fractional differential equations, such as the existence and uniqueness of solutions to ... See full document

... Fuzzy differential equations naturally represent dynamical systems with ...of fuzzy derivative using the extension principle in (Abu Arqub, ...formulated Fuzzy differential ... See full document

... fractional differential equations in many different respects: the connection between solutions of fractional Cauchy problems and Cauchy problems of first order [10]; the ... See full document

... of fuzzy differential equation (F DE) has been rapidly growing in recent ...of fuzzy dynamical prob- ...linear fuzzy differential equations and Allahviranloo ... See full document

... the Cauchy difference to be unbounded (see also ...the Cauchy difference to become arbitrary unbounded. The stability problems of several functional equations have been extensively investi- ... See full document

... Since the space of L ∞ is excluded in a number of results in G. R. Bur- ton’s rearrangement theory, we apply the method of tangent cones in order to derive optimality conditions in particular problems. We learned ... See full document

... Even for ODEs, which are very well under- stood, it is not a simple question of turning a crank to get answers. It is important to know when it is easy to find solutions and how to do so. Although in real applications ... See full document

... roundoff errors or computational time considerations. Such problems are sometimes called stiff . In the worst case, the numerical computations might be giving us bogus numbers that look like a correct answer. Just ... See full document

... In recent years there has been a considerable interest in the theory and applications of fractional differential equations. As for the theory, the investigations include the existence and uniqueness of ... See full document