Class of quasi fractional analytic functions

Oscar Camacho; Ronny Chalco; Antonio Di Teodoro; Juan J. Gude; Carlos Vargas; Adrian Cerda; Josue Galan; Maria Villegas

doi:10.1016/j.ifacol.2026.01.042

Class of quasi fractional analytic functions

Oscar Camacho^*
, Ronny Chalco^*
, Antonio Di Teodoro
, Juan J. Gude
, Carlos Vargas^*
, Adrian Cerda^*
, Josue Galan^*
, Maria Villegas^*

^*Corresponding author for this work

Universidad San Francisco de Quito
Universidad de Deusto

Research output: Contribution to journal › Conference article › peer-review

Abstract

The document presents a class of quasi-fractional analytic functions, exploring their properties in complex analysis and fractional calculus. Definitions, theorems, and proofs are established that link these functions with concepts such as Gauss's Theorem and the Cauchy-Pompeiu formula. Additionally, the relationship between harmonicity and quasi-fractional analyticity is investigated, also introducing the concept of quasi-generalized fractional analytic functions.

Original language	English
Pages (from-to)	244-249
Number of pages	6
Journal	IFAC-PapersOnLine
Volume	59
Issue number	37
DOIs	https://doi.org/10.1016/j.ifacol.2026.01.042
State	Published - 1 Dec 2025
Event	13th IFAC Conference on Fractional Differentiation and its Applications, ICFDA 2025 - Algiers, Algeria Duration: 16 Dec 2025 → 18 Dec 2025

Keywords

Fractional Analytic Functions
Fractional calculus
Generalized Fractional Analytic Functions
Harmonicity
Quasi Fractional Analytic Functions

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10.1016/j.ifacol.2026.01.042

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title = "Class of quasi fractional analytic functions",

abstract = "The document presents a class of quasi-fractional analytic functions, exploring their properties in complex analysis and fractional calculus. Definitions, theorems, and proofs are established that link these functions with concepts such as Gauss's Theorem and the Cauchy-Pompeiu formula. Additionally, the relationship between harmonicity and quasi-fractional analyticity is investigated, also introducing the concept of quasi-generalized fractional analytic functions.",

keywords = "Fractional Analytic Functions, Fractional calculus, Generalized Fractional Analytic Functions, Harmonicity, Quasi Fractional Analytic Functions",

author = "Oscar Camacho and Ronny Chalco and \{Di Teodoro\}, Antonio and Gude, \{Juan J.\} and Carlos Vargas and Adrian Cerda and Josue Galan and Maria Villegas",

note = "Publisher Copyright: {\textcopyright} 2025 Elsevier B.V.. All rights reserved.; 13th IFAC Conference on Fractional Differentiation and its Applications, ICFDA 2025 ; Conference date: 16-12-2025 Through 18-12-2025",

year = "2025",

month = dec,

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doi = "10.1016/j.ifacol.2026.01.042",

language = "Ingl{\'e}s",

volume = "59",

pages = "244--249",

journal = "IFAC-PapersOnLine",

issn = "2405-8971",

publisher = "Elsevier B.V.",

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TY - JOUR

T1 - Class of quasi fractional analytic functions

AU - Camacho, Oscar

AU - Chalco, Ronny

AU - Di Teodoro, Antonio

AU - Gude, Juan J.

AU - Vargas, Carlos

AU - Cerda, Adrian

AU - Galan, Josue

AU - Villegas, Maria

PY - 2025/12/1

Y1 - 2025/12/1

N2 - The document presents a class of quasi-fractional analytic functions, exploring their properties in complex analysis and fractional calculus. Definitions, theorems, and proofs are established that link these functions with concepts such as Gauss's Theorem and the Cauchy-Pompeiu formula. Additionally, the relationship between harmonicity and quasi-fractional analyticity is investigated, also introducing the concept of quasi-generalized fractional analytic functions.

AB - The document presents a class of quasi-fractional analytic functions, exploring their properties in complex analysis and fractional calculus. Definitions, theorems, and proofs are established that link these functions with concepts such as Gauss's Theorem and the Cauchy-Pompeiu formula. Additionally, the relationship between harmonicity and quasi-fractional analyticity is investigated, also introducing the concept of quasi-generalized fractional analytic functions.

KW - Fractional Analytic Functions

KW - Fractional calculus

KW - Generalized Fractional Analytic Functions

KW - Harmonicity

KW - Quasi Fractional Analytic Functions

UR - https://www.scopus.com/pages/publications/105029908953

U2 - 10.1016/j.ifacol.2026.01.042

DO - 10.1016/j.ifacol.2026.01.042

M3 - Artículo de la conferencia

AN - SCOPUS:105029908953

SN - 2405-8971

VL - 59

SP - 244

EP - 249

JO - IFAC-PapersOnLine

JF - IFAC-PapersOnLine

IS - 37

T2 - 13th IFAC Conference on Fractional Differentiation and its Applications, ICFDA 2025

Y2 - 16 December 2025 through 18 December 2025

ER -

Class of quasi fractional analytic functions

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Keywords

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