A New Numerical Technique for Solving Fractional Integro-Differential Equations in Fuzzy Space

In this work, the generalized exponential spline methodt is studied to approximate the solution of fuzzy fractional integro differential equations under Caputo derivative. The existence and uniqueness theorems for these equations by considering the type of differentiability of solution are proved. The results shown that generalized exponential method is more accurate in terms of absolute error. Furthermore, the accuracy and efficiency of the proposed method are demonstrated is a series of numerical experiments.

Authors

Institutions

Publication Details

Journal
EQUATIONS
Published
2025-05-06
DOI
https://doi.org/10.37394/232021.2025.5.1
Primary Topic
Fuzzy Systems and Optimization
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

A New Numerical Technique for Solving Fractional Integro-Differential Equations in Fuzzy Space

Uday J. Quaez, Hussein Jabbar Mohammed, Adil K Bagheedh, Ihab Hadi Jumhaa
EQUATIONS
Fuzzy Systems and Optimization
article

A New Numerical Technique for Solving Fractional Integro-Differential Equations in Fuzzy Space

Uday J. Quaez, Hussein Jabbar Mohammed, Adil K Bagheedh, Ihab Hadi Jumhaa
article en

Abstract

In this work, the generalized exponential spline methodt is studied to approximate the solution of fuzzy fractional integro differential equations under Caputo derivative. The existence and uniqueness theorems for these equations by considering the type of differentiability of solution are proved. The results shown that generalized exponential method is more accurate in terms of absolute error. Furthermore, the accuracy and efficiency of the proposed method are demonstrated is a series of numerical experiments.

EQUATIONSVol. 5
Mustansiriyah University (IQ)
Openalex Percentile: Top 90%
Fuzzy Systems and Optimization
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.