Our main concern in this study is to present the generalized results investigate existence of solutions nonlinear fractional boundary value problems (FBVPs) with conditions. The framework presented relies on lower and upper approach which allows us ensure a sector defined by well-ordered coupled solutions. It worth mentioning that unify criteria certain were treated case-by-case basis literatur...

The purpose of this paper is concerned with the existence extremal mild solutions for Sobolev type Hilfer fractional evolution equations nonlocal conditions in an ordered Banach spaces E. By using monotone iterative technique coupled method lower and upper solutions, help theory propagation family as well measure noncompactness Sadovskii?s fixed point theorem, we obtain some results equations. ...

Abstract The aim of this paper is to consider a fully cantilever beam equation with one end fixed and the other connected resilient supporting device, that is, $$ \textstyle\begin{cases} u^{(4)}(t)=f(t,u(t),u'(t),u''(t),u'''(t)), \quad t\in [0,1], \\ u(0)=u'(0)=0, u''(1)=0,\qquad u'''(1)=g(u(1)), \end{cases} {...

In the spotlight of this study is a particular type of first order dynamic initial value problem of the form u = f(t, u) + g(t, u), u(t0) = u0, where f, g ∈ Crd [T × R,R] are nondecreasing and nonincreasing in u, respectively. A quasilinearization technique utilizing the nature of natural lower and upper solutions as well as coupled lower and upper solutions is developed for this problem. Begin...

This paper is concerned with the large time behavior of solutions to the Lifschitz-Slyozov-Wagner (LSW) system of equations. Point-wise in time upper and lower bounds on the rate of coarsening are obtained for solutions with fairly general initial data. These bounds complement the time averaged upper bounds obtained by Dai and Pego, and the point-wise in time upper and lower bounds obtained by ...

chaotic systems are nonlinear dynamic systems, the main feature of which is high sensitivity to initial conditions. to initiate a design process in fuzzy model, chaotic systems must first be represented by t-s fuzzy models. in this paper, a new fuzzy modeling method based on sector nonlinearity approach has been recommended for chaotic systems relating to initial condition variations using the ...