Säıd Abbas and Mouffak Benchohra UNIQUENESS RESULTS FOR FREDHOLM TYPE FRACTIONAL ORDER RIEMANN-LIOUVILLE INTEGRAL EQUATIONS

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...

Global Uniqueness Results for Fractional Order Partial Hyperbolic Functional Differential Equations

Existence and stability results for nonlinear fractional order Riemann-Liouville Volterra-Stieltjes quadratic integral equations

Keywords: Volterra–Stieltjes integral equation Fractional integral–differential equations Riemann–Liouville fractional operators Existence and stability of solutions Fixed point a b s t r a c t Our aim in this paper is to study the existence and the stability of solutions for Riemann–Liouville Volterra–Stieltjes quadratic integral equations of fractional order. Our results are obtained by using...

Ulam Stability for Impulsive Discontinuous Partial Fractional Differential Equations in Banach Algebras

In this paper, we investigate some existence and Ulam’s type stability concepts of fixed point inclusions for a class of partial discontinuous fractional order differential equations with impulses in Banach algebras.

A Survey on Semilinear Differential Equations and Inclusions Involving Riemann-Liouville Fractional Derivative