in this paper, we apply the local fractional laplace transform method (or yang-laplace transform) on volterra integro-differential equations of the second kind within the local fractional integral operators to obtain the analytical approximate solutions. the iteration procedure is based on local fractional derivative operators. this approach provides us with a convenient way to find a solution ...

In this paper, we establish the existence and uniqueness results to Cauchy problem posed for a fuzzy fractional Volterra-Stieltjes integrodifferential equation. The method of successive approximations is used prove existence, whereas contraction theory applied solution problem.

Fractional diffusion and Fokker-Planck equations are widely used tools to describe anomalous in a large variety of complex systems. The equivalent formulations terms Caputo or Riemann-Liouville fractional derivatives can be derived as continuum limits continuous-time random walks associated with the Mittag-Leffler relaxation Fourier modes, interpolating between short-time stretched exponential ...

In this paper, we considered a Stochastic Interval-Valued Linear Fractional Programming problem(SIVLFP). In this problem, the coefficients and scalars in the objective function are fractional-interval, and technological coefficients and the quantities on the right side of the constraints were random variables with the specific distribution. Here we changed a Stochastic Interval-Valued Fractiona...

Substituting the usual growth condition by an assumption that a specific initial value problem has a maximal solution, we obtain existence results for functional nonlinear integral equations with variable delay. Application of the technique to initial value problems for differential equations as well as to integrodifferential equations are given.

The computation schemes of reduction method for approximate solution of systems of singular integrodifferential equations have been elaborated. The equations are defined on an arbitrary smooth closed contour of complex plane. Estimates of the rate of convergence are obtained in generalized Hölder spaces. Key–Words:Reduction Method, Generalized Holder Spaces, systems of singular integro-differen...

in this paper, under appropriate oscillating behaviours of the nonlinear term, we prove some multiplicity results for a class of nonlinear fractional equations. these problems have a variational structure and we find three solutions for them by exploiting an abstract result for smooth functionals defined on a reflexive banach space. to make the nonlinear methods work, some careful analysis of t...

In this manuscript, we have a tendency to execute Banach contraction fixed point theorem combined with resolvent operator to analyze the exact controllability results for fractional neutral integrodifferential systems (FNIDS) with state-dependent delay (SDD) in Banach spaces. An illustration is additionally offered to exhibit the achieved hypotheses.