Second type Hukuhara differentiable solutions to the delay set-valued differential equations

Neutral set differential equations

“…The first results in this area were obtained in [16], [5], [21]. Some recent results of interest can be found in [6], [14], [17], [19], [18], [20]. For more results, references and details we refer the reader to the book [13].…”

“…We also refer the reader to the first book [23] devoted exclusively to the subject of set differential equations on Banach spaces and their applications to differential inclusions with nonconvex right hand sides. The set differential equations with delay were studied in [1], [19], [22] and [24].…”

Some global existence results and stability theorem for fuzzy functional differential equations

“…For the basic theory on functional differential equations, the readers can be referred to the following books and papers (see [13,23,27,[32][33][34]39] and references therein). Moreover, fuzzy differential equations have been studied by many scientists due to its applications in many areas.…”

“…Author studied the local and global existence and uniqueness results for (1.1) by using the method of successive approximations and contraction principle. Marek T. Malinowski [39] studied the existence and uniqueness result of solution to the delay set-valued differential equations under condition that the right-hand side of equation is Lipschitzian in the functional variable. Inspired and motivated by the results of Stefanini and Bede [14,17], Marek T. Malinowski [39], Lupulescu [32].…”

Higher order convergence for a class of set differential equations with initial conditions

“…Some basic results have been established on existence, uniqueness, continuous dependence of solutions and the corresponding stability properties [20,21,3,16,29,14,4,30,5,28]. Meanwhile, some generalized results have also been established for various types of SDEs, such as set functional differential equations [1,2], impulsive set differential equations [7,25,24,11], set differential equations involving causal operators [8,12], set differential equations in Banach spaces [22,23], set dynamic equations on time scales [15], to name a few.…”