Global Attractivity of Solutions for Nonlinear Fractional Order Riemann-Liouville Volterra-Stieltjes Partial Integral Equations

Integral equations are one of the most useful mathematical tools in both pure and applied analysis. This is particularly true of problems in mechanical vibrations and the related fields of engineering and mathematical physics. We can find numerous applications of differential and integral equations of fractional order in viscoelasticity, electrochemistry, control, porous media, electromagnetism, etc., [10, 16, 25]. There has been a significant development in ordinary and partial fractional differential and integral equations in recent years; see the monographs of Abbas et al. [5], Kilbas et al. [19], Miller and Ross [20], Podlubny [22], Samko et al. [24], and the papers of Abbas