The require results for iterative solutions are obtained by using monotone iterative techniques combine with the method of upper and lower solutions. In this regard, two sequences are established for upper and lower solutions, respectively, in which one is monotonically increasing and converges to ...
Our main results are obtained by using the fixed point method under the assumptions that the modular is lsc and convex but not necessarily satisfies any Δ2-conditions. 2. Preliminaries In this section, we recollect some basic definitions and properties of a modular space. Conventionally, we ...
In this paper, the authors established the Ulam Hyers, Ulam TRassias and Ulam JRassias stabilities of the additive functional equation ) ( ) ( = ) ( ) ( z g y x g z y g x g in Generalized 2normed spaces using direct and Fixed point method....
Fixed Point Method and Hyers-Ulam-Rassias Stability of a Radical Functional Equation in Various SpacesThe starting point of studying the stability of functional equations seems to be the famous talk of (Ulam,1940). "When is it true that the solution of an equation differing slightly from a ...
This method is especially important in domains such as physics and engineering, where accurate models of dynamic systems are required. Overall, the investigation of mixed fractional derivatives offers a rich and flexible framework for dealing with complex differential equations, opening the door to more...