The continuous fractional calculus has a long history within the broad area of mathematical
analysis. Indeed, it is nearly as old as the familiar integer-order calculus. Since its inception …

In this paper, we analyze several different types of discrete sequential fractional boundary
value problems. Our prototype equation is− Δ μ 1 Δ μ 2 Δ μ 3 y (t)= f (t+ μ 1+ μ 2+ μ 3− 1, y (t+ …

This chapter introduces a comprehensive study for Sturm–Liouville theory of the q, ω-Hahn
difference operators in the regular setting. We define a Hilbert space of q, ω-square …

In this study, higher-order self-adjoint differential expressions on time scales and their
associated self-adjoint boundary conditions are discussed. The symmetry property of the …

Self-Adjoint Boundary Value Problems on Time Scales and Symmetric Green's Functions
Page 1 Turkish Journal of Mathematics Volume 29 Number 4 Article 3 1-1-2005 Self-Adjoint …

A TWO-DIMENSIONAL SYSTEM OF DELTA-NABLA FRACTIONAL DIFFERENCE
INCLUSIONS 1. Introduction Page 1 Novi Sad J. Math. Vol. 47, No. 1, 2017, 143-163 A TWO-DIMENSIONAL …

Even order self adjoint differential time scale expressions are introduced, together with
associated self adjoint boundary conditions; the result is established by induction. Several …

In this dissertation we present new results in the theory of symplectic systems on time scales
(also symplectic dynamic systems) obtained and published by the author (jointly with …

In this work we provide an analysis of both fractional-and integer-order boundary value
problems, certain of which contain explicit nonlocal terms. In the discrete fractional case we …

In this paper, the concepts of a right fractional sum and right fractional difference operators
are introduced. Some basic properties of a right fractional sum and right fractional difference …