The aim of this paper is to establish the existence and uniqueness results for implicit
differential equations of Hilfer-type fractional order via Schaefer's fixed point theorem and …

One of the novelty of this paper is the study of a general class of impulsive differential
equations, which is more reasonable to show dynamics of evolution processes in …

In this paper, we consider fractional ordinary differential equations with not instantaneous
impulses. Firstly, we construct a uniform framework to derive a formula of solutions for …

In this paper, we first utilize fractional calculus, the properties of classical and generalized
Mittag-Leffler functions to prove the Ulam–Hyers stability of linear fractional differential …

In this paper, we first prove two existence and uniqueness results for fractional-order delay
differential equation with respect to Chebyshev and Bielecki norms. Secondly, we prove the …

This paper aims to study the existence and uniqueness of the solution for nonlocal
multiorder implicit differential equation involving Hilfer fractional derivative on unbounded …

Dynamics and stability of pantograph equations via Hilfer fractional derivative Page 1 CSP
NONLINEAR STUDIES - www.nonIinearstudies.com Vol. 23, No. 4, pp. 685-698, 2016 © CSP …

In this manuscript, using Schaefer's fixed point theorem, we derive some sufficient conditions
for the existence of solutions to a class of fractional differential equations (FDEs). The …

In this paper, we discuss a new class of fractional order differential switched systems with
coupled nonlocal initial and impulsive conditions in R n. We firstly derive a solution formula …

In this manuscript, we have studied the coupled system of Hilfer fractional differential
equations with non-local conditions. We have used the Leray-alternative Schauder's and the …