Developments of some new results that weaken certain conditions of fractional type differential equations

Shahid Bashir; Naeem Saleem; Hassen Aydi; Syed Muhammad Husnine; Asma Al Rwaily

doi:10.1186/s13662-021-03519-1

Developments of some new results that weaken certain conditions of fractional type differential equations

Shahid Bashir
, Naeem Saleem
, Hassen Aydi^*
, Syed Muhammad Husnine
, Asma Al Rwaily

^*Corresponding author for this work

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

4 Citations (Scopus)

Abstract

We introduce double and triple F-expanding mappings. We prove related fixed point theorems. Based on our obtained results, we also prove the existence of a solution for fractional type differential equations by using a weaker condition than the sufficient small Lipschitz constant studied by Mehmood and Ahmad (AIMS Math. 5:385–398, 2019) and Hanadi et al. (Mathematics 8:1168, 2020). As applications, we ensure the existence of a unique solution of a boundary value problem for a second-order differential equation.

Original language	English
Article number	359
Journal	Advances in Difference Equations
Volume	2021
Issue number	1
DOIs	https://doi.org/10.1186/s13662-021-03519-1
Publication status	Published - Dec 2021
Externally published	Yes

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title = "Developments of some new results that weaken certain conditions of fractional type differential equations",

abstract = "We introduce double and triple F-expanding mappings. We prove related fixed point theorems. Based on our obtained results, we also prove the existence of a solution for fractional type differential equations by using a weaker condition than the sufficient small Lipschitz constant studied by Mehmood and Ahmad (AIMS Math. 5:385–398, 2019) and Hanadi et al. (Mathematics 8:1168, 2020). As applications, we ensure the existence of a unique solution of a boundary value problem for a second-order differential equation.",

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AU - Bashir, Shahid

AU - Saleem, Naeem

AU - Aydi, Hassen

AU - Husnine, Syed Muhammad

AU - Rwaily, Asma Al

PY - 2021/12

Y1 - 2021/12

N2 - We introduce double and triple F-expanding mappings. We prove related fixed point theorems. Based on our obtained results, we also prove the existence of a solution for fractional type differential equations by using a weaker condition than the sufficient small Lipschitz constant studied by Mehmood and Ahmad (AIMS Math. 5:385–398, 2019) and Hanadi et al. (Mathematics 8:1168, 2020). As applications, we ensure the existence of a unique solution of a boundary value problem for a second-order differential equation.

AB - We introduce double and triple F-expanding mappings. We prove related fixed point theorems. Based on our obtained results, we also prove the existence of a solution for fractional type differential equations by using a weaker condition than the sufficient small Lipschitz constant studied by Mehmood and Ahmad (AIMS Math. 5:385–398, 2019) and Hanadi et al. (Mathematics 8:1168, 2020). As applications, we ensure the existence of a unique solution of a boundary value problem for a second-order differential equation.

UR - https://www.scopus.com/pages/publications/85111540284

U2 - 10.1186/s13662-021-03519-1

DO - 10.1186/s13662-021-03519-1

M3 - Article

AN - SCOPUS:85111540284

SN - 1687-1839

VL - 2021

JO - Advances in Difference Equations

JF - Advances in Difference Equations

IS - 1

M1 - 359

ER -

Developments of some new results that weaken certain conditions of fractional type differential equations

Abstract

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