The purpose of this paper is to introduce and study a new concept of strong fuzzy real-valued double Aconvergence sequences with respect to an Orlicz function. Also, some properties of the resulting fuzzy real-valued sequence spaces are examined. In addition, we define the double A-statistical convergence and establish some connections between the spaces of strong double A-convergence sequence ...

In this paper, we consider non-homogeneous fractional equations in Orlicz spaces, with a source depending on the spatial variable, unknown function and its gradient. The latter is adapted to framework. main contribution of article establish equivalence between weak viscosity solutions for such equations.

The notion of modular metric spaces being a natural generalization of classical modulars over linear spaces like Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, and Calderon-Lozanovskii spaces was recently introduced. In this paper we investigate the existence of fixed points of generalized α-admissible modular contractive mappings in modular metric spaces. As applications, we deriv...

It la well-known thaI if u E W”’(12), (2 cE .~t satisfles On E L~(fl), then u belonga te BMO(9), Ihe John-Nirenberg Space. Wc prove that Ihis ja no more true if ¡ Dii belonga te an Orlicz apace LÁ((2) whcn the N-function AQ) increases leas Ihan it. In arder te obtain u E BMO ((2), we impose a suitable uniform LA conditien for Dii

In this paper, we study the traces of Orlicz-Sobolev spaces on a regular rooted tree. After giving dyadic decomposition boundary tree, present characterization trace those first order whose Young function is form t p log ? ? ( e + ) , based integral averages elements decomposition.

In the present paper we introduce some vector-valued multiplier difference sequence spaces defined by a Musielak-Orlicz function, concepts of lacunary convergence and strong (A, u)-convergence, where A = (aik) is an infinite matrix of complex numbers and u = (ui) be any sequence of strictly positive real numbers. We also make an effort to study some topological properties and some inclusion rel...

The work of interval arithmetic was originally introduced by Dwyer [3] in 1951. The development of interval arithmetic as a formal system and evidence of its value as a computational device was provided by Moore [15] and Moore and Yang [16]. Furthermore, Moore and others [3]; [4]; [10] and [17] have developed applications to differential equations. Chiao in [2] introduced sequence of interval n...

Under appropriate assumptions on the $N(\Omega)$-fucntion, locally uniform Morrey estimate is presented in Musielak-Orlicz-Sobolev space. The include a new increasing condition $x$-derivative of Young complementary function $N(\Omega)$-fucntion. conclusion applies to several important nonlinear examples frequently appeared mathematical literature.