Fractional differential equations have played a significant role in physics, mechanics, chemistry, engineering, and so forth. In recent years, there are many papers dealing with the existence ofâ€¦ (More)

and Applied Analysis 3 It is obvious that G (t, s) â‰¤ G 1 (s, s) , t, s âˆˆ [0, 1] . (13) We consider the Banach spaceE = C[[0, 1],R] endowedwith the norm defined by â€– u â€–= sup 0â‰¤tâ‰¤1 |u(t)|. Letting P =â€¦ (More)

By using the fixed-point index theory and Leggett-Williams fixed-point theorem,we study the existence of multiple solutions to the three-point boundary value problem uâ€²â€²â€² t a t f t, u t , uâ€² t 0, 0 <â€¦ (More)

Fractional differential equations arise in various areas of science and engineering, such as physics, mechanics, chemistry, and engineering. The fractional order models become more realistic andâ€¦ (More)

Stimulated Brillouin scattering (SBS), a fundamental nonlinear interaction between light and acoustic waves occurring in any transparency material, has been broadly studied for several decades andâ€¦ (More)

By means of the fixed point index theory of strict set contraction operators, we establish new existence theorems on multiple positive solutions to a boundary value problem for second-order impulsiveâ€¦ (More)