In this chapter, we introduce notations, definitions, and preliminary facts that will be used in
the remainder of this book. Some notations and definitions from the fractional calculus, some …

Boundary conditions involving fractional derivatives of unknown functions are more general
and can be used to generalize Dirichlet-or Neumann-type boundary conditions. In this …

Applying Schauder fixed point theorem and Leray‐Schauder nonlinear alternative theory,
this paper is concerned with the existence of solutions to coupled fractional differential …

BOUNDARY VALUE PROBLEMS FOR NONLINEAR FRACTIONAL DIFFERENTIAL
EQUATIONS AND INCLUSIONS WITH NONLOCAL AND FRACTIONAL INTEGRAL BOU Page …

This article aims to prove the existence and uniqueness of solutions to a nonlinear boundary
value problem of fractional differential equations involving the Caputo–Hadamard fractional …

In this paper, we study existence (uniqueness) of solutions for nonlinear fractional
differential equations with Katugampola fractional integral conditions. Several fixed point …

In this paper, we consider a discrete fractional boundary value problem of the form {Δ α x (t)=
f (t+ α− 1, x (t+ α− 1)), t∈[0, T] N 0:={0, 1,…, T}, x (α− 2)= 0, x (α+ T)= Δ− β x (η+ β), where 1< …

Boundary value problem of a nonlinear Langevin equation with two different fractional orders
and impulses | Fixed Point Theory and Algorithms for Sciences and Engineering Skip to main …

EXISTENCE RESULTS FOR NONLINEAR IMPLICIT FRACTIONAL DIFFERENTIAL EQUATIONS
1 Introduction Page 1 Surveys in Mathematics and its Applications ISSN 1842-6298 (electronic) …

In this paper, we consider a class of boundary value problems of fractional differential
equations with integral and anti-periodic boundary conditions, which is a new type of mixed …