Some New Weakly Singular Integral Inequalities with Applications to Differential Equations in Frame of Tempered ?-Fractional Derivatives

Some New Nonlinear Weakly Singular Integral Inequalities of Wendroff Type with Applications

On some new weakly singular Volterra integral inequalities with maxima and their applications

*Correspondence: [email protected] Department of Mathematics, Sichuan University for Nationalities, Kangding, Sichuan 626001, P.R. China Abstract In this paper, we consider a general form of nonlinear integral inequalities with the unknown function composed with a given function on the left hand side, more than one distinct nonlinear integrals on its right-hand side, and weakly singular kernels,...

fractional differential transform method for solving a class of weakly singular volterra integral equations

a method for solving a class of weakly singular volterra integral equations is given by using the fractional differential transform method. the approximate solution of these equa­tions is calculated in the form of a finite series with easily computable terms. while in some examples this series solution increased up to the exact closed solution, in some other examples, we can see the accuracy an...

Singular fractional integro-differential inequalities and applications

* Correspondence: [email protected] Department of Mathematical Sciences, Princess Nora Bint Abdulrahman University, Riyadh 84428, Saudi Arabia Full list of author information is available at the end of the article Abstract In this article, fractional integro-differential inequalities with singular coefficients have been considered. The bounds obtained for investigating the behavior of the ...

New Generalized 2d Nonlinear Inequalities and Applications in Fractional Differential–integral Equations

In this paper, we study some new generalized 2D nonlinear Gronwall-Bellman type inequalities, which provide explicit bounds for unknown functions concerned, and are useful in the analysis of qualitative and quantitative properties for solutions to fractional differential and differential-integral equations. The presented inequalities are of new forms compared with the existing results so far in...