Power Functions and Their Relationship with the Unified Fractional Derivative

The different forms of power functions will be studied in connection with the unified fractional derivative, and their Fourier transform will be computed. In particular, one-sided, even, and odd powers will be studied.

Authors

Institutions

Publication Details

Journal
Mathematics
Published
2025-03-04
DOI
https://doi.org/10.3390/math13050852
Primary Topic
Fractional Differential Equations Solutions
Type
article
Field-Weighted Citation Impact
0.00

Funders

Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

Power Functions and Their Relationship with the Unified Fractional Derivative

Manuel Duarte Ortigueira
Mathematics
Fractional Differential Equations Solutions
article

Power Functions and Their Relationship with the Unified Fractional Derivative

Manuel Duarte Ortigueira
article en

Abstract

The different forms of power functions will be studied in connection with the unified fractional derivative, and their Fourier transform will be computed. In particular, one-sided, even, and odd powers will be studied.

MathematicsVol. 13(5)
University of Lisbon (PT), Universidade Nova de Lisboa (PT)
Fundação para a Ciência e a Tecnologia
Openalex Percentile: Top 95%
Fractional Differential Equations Solutions
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.