This paper is devoted to boundary-value problems for Riemann–Liouville-type fractional differential equations of variable order involving finite delays. The existence solutions first studied using a Darbo’s fixed-point theorem and the Kuratowski measure noncompactness. Secondly, Ulam–Hyers stability criteria are examined. All results in this study established with help generalized intervals pie...

We determine eigenvalue intervals of λ1 and λ2 for the existence of at least one positive solution for a coupled system of Riemann–Liouville type multi-point fractional order boundary value problems by utilizing a fixed point theorem on a cone under suitable conditions.

In this paper, we shall discuss the properties of the well-known Mittag–Leffler function, and consider the existence of solution of the periodic boundary value problem for a fractional differential equation involving a Riemann–Liouville sequential fractional derivative by means of the method of upper and lower solutions and Schauder fixed point theorem.

We study an initial value problem for a fractional differential equation using the Riemann-Liouville fractional derivative. We obtain some topological properties of the solution set: It is the intersection of a decreasing sequence of compact nonempty contractible spaces. We extend the classical Kneser’s theorem on the structure solution set for ordinary differential equations. MSC 2010 : 26A33,...

where 2 < α ≤ 3, D denotes the Riemann-Liouville fractional derivative, λ is a positive constant, f (t, x) may change sign and be singular at t = 0, t = 1, and x = 0. By means of the Guo-Krasnoselskii fixed point theorem, the eigenvalue intervals of the nonlinear fractional functional differential equation boundary value problem are considered, and some positive solutions are obtained, respecti...

using the riemann-liouville fractional differintegral operator, the lie theory is reformulated. the fractional poisson bracket over the fractional phase space as 3n state vector is defined to be the fractional lie derivative. its properties are outlined and proved. a theorem for the canonicity of the transformation using the exponential operator is proved. the conservation of its generator is p...

We propose the concept of up and down harmonically convex mapping for fuzzy-number-valued as our main goal in this work. With help fuzzy-number convexity fuzzy fractional integral operator, we also show results Hermite–Hadamard (H–H) inequality, Fejér type some other related versions inequalities. Moreover, examples are presented to discuss validity results. The from new technique how suggested...

The initial-boundary value problem for the generalized Korteweg-de Vries equation on a half-line is studied by adapting the initial value techniques developed by Kenig, Ponce and Vega and Bourgain to the initial-boundary setting. The approach consists of replacing the initial-boundary problem by a forced initial value problem. The forcing is selected to satisfy the boundary condition by inverti...

In this paper, using the Riemann-Liouville fractional q-integral, we establish some new fractional integral inequalities by using two parameters of deformation q1 and q2.