In this paper, we use the Mellin-Barnes-Watson method to relate solutions of a certain type $q$-difference equations at $Q=0$ and $Q=\infty$. We consider two special cases; first is equation $K$-theoretic $I$-function quintic, which degree 25; Adams' find extra 20 $Q=0$. The second case fuchsian case, confluent differential cohomological quintic. compute connection matrix study confluence struc...

the pioneer work of image compression/reconstruction based onfuzzy relational equations (icf) and the related works are introduced. theicf regards an original image as a fuzzy relation by embedding the brightnesslevel into [0,1]. the compression/reconstruction of icf correspond to thecomposition/solving inverse problem formulated on fuzzy relational equations.optimizations of icf can be consequ...

in this paper, we study the existence of extremal solutions forimpulsive delay fuzzy integrodifferential equations in$n$-dimensional fuzzy vector space, by using monotone method. weshow that obtained result is an extension of the result ofrodr'{i}guez-l'{o}pez cite{rod2} to impulsive delay fuzzyintegrodifferential equations in $n$-dimensional fuzzy vector space.

in this paper, we investigate the generalizedhyers--ulam stability of the functional equation

Optimal control is a very important field of study not only in theory but in applications, and stochastic optimal control is also a significant branch of research in theory and applications. Based on the concept of fuzzy process introduced by Liu, we present a fuzzy optimal control problem. Applying Bellman’s optimal principle, we obtain the principle of optimality for fuzzy optimal control, an...

Abstract: A new adaptive fuzzy fault-tolerant control scheme for complex non-linear systems is proposed in this paper. The approach presented here combines fuzzy T-S dynamic model with Riccati equation. In each local linear model of the fuzzy dynamic model, Riccati equation is used in the design of fault-tolerant control. These local models are linked together by fuzzy membership functions to f...