Study of multi-term fractional delay differential equations involving Caputo-fractional derivative

Iram Iqbal; Fatiha Moh Alsammak; Mashaer Alsaeedi; Mhassen E.E. Dalam; Bilal Iqbal

doi:10.1016/j.jmaa.2025.129563

Study of multi-term fractional delay differential equations involving Caputo-fractional derivative

Iram Iqbal, Fatiha Moh Alsammak, Mashaer Alsaeedi, Mhassen E.E. Dalam, Bilal Iqbal

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

The aim of this paper is to produce some necessary conditions to exhibit the existence of solutions for the multi-term delay fractional boundary value problems subject to the periodic/anti-periodic boundary conditions in setting of ♭-metric spaces. In this regard we obtain the fixed-point results for F-type mappings that satisfy specific contractive criteria and have less limitations put on function F and then prove the existence results with the aid of obtained fixed point results.

Original language	English
Article number	129563
Journal	Journal of Mathematical Analysis and Applications
Volume	549
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2025.129563
State	Published - 15 Sep 2025

Keywords

F-contraction
Fixed point
Multi-term fractional delay differential equations
♭-metric space

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10.1016/j.jmaa.2025.129563

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title = "Study of multi-term fractional delay differential equations involving Caputo-fractional derivative",

abstract = "The aim of this paper is to produce some necessary conditions to exhibit the existence of solutions for the multi-term delay fractional boundary value problems subject to the periodic/anti-periodic boundary conditions in setting of ♭-metric spaces. In this regard we obtain the fixed-point results for F-type mappings that satisfy specific contractive criteria and have less limitations put on function F and then prove the existence results with the aid of obtained fixed point results.",

keywords = "F-contraction, Fixed point, Multi-term fractional delay differential equations, ♭-metric space",

author = "Iram Iqbal and Alsammak, \{Fatiha Moh\} and Mashaer Alsaeedi and Dalam, \{Mhassen E.E.\} and Bilal Iqbal",

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AU - Iqbal, Iram

AU - Alsammak, Fatiha Moh

AU - Alsaeedi, Mashaer

AU - Dalam, Mhassen E.E.

AU - Iqbal, Bilal

PY - 2025/9/15

Y1 - 2025/9/15

N2 - The aim of this paper is to produce some necessary conditions to exhibit the existence of solutions for the multi-term delay fractional boundary value problems subject to the periodic/anti-periodic boundary conditions in setting of ♭-metric spaces. In this regard we obtain the fixed-point results for F-type mappings that satisfy specific contractive criteria and have less limitations put on function F and then prove the existence results with the aid of obtained fixed point results.

AB - The aim of this paper is to produce some necessary conditions to exhibit the existence of solutions for the multi-term delay fractional boundary value problems subject to the periodic/anti-periodic boundary conditions in setting of ♭-metric spaces. In this regard we obtain the fixed-point results for F-type mappings that satisfy specific contractive criteria and have less limitations put on function F and then prove the existence results with the aid of obtained fixed point results.

KW - F-contraction

KW - Fixed point

KW - Multi-term fractional delay differential equations

KW - ♭-metric space

UR - https://www.scopus.com/pages/publications/105002236610

U2 - 10.1016/j.jmaa.2025.129563

DO - 10.1016/j.jmaa.2025.129563

M3 - Article

AN - SCOPUS:105002236610

SN - 0022-247X

VL - 549

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

M1 - 129563

ER -

Study of multi-term fractional delay differential equations involving Caputo-fractional derivative

Abstract

Keywords

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