α-ADMISSIBLE MAPPING IN RECTANGULAR METRICSPACE INVOLVING THE EXISTENCE SOLUTION OFTHE CAPUTO FRACTIONAL DIFFERENTIALEQUATION WITH NON-LOCAL INTEGRALCONDITIONS

Piyachat Borisut; Thanatporn Grace

doi:10.58715/bangmodjmcs.2022.8.3

α-ADMISSIBLE MAPPING IN RECTANGULAR METRICSPACE INVOLVING THE EXISTENCE SOLUTION OFTHE CAPUTO FRACTIONAL DIFFERENTIALEQUATION WITH NON-LOCAL INTEGRALCONDITIONS

Authors

Piyachat Borisut Faculty of Liberal Arts, Rajamangala University of Technology Rattanakosin, Samphanthawong, Bangkok 10100, Thailand
Thanatporn Grace Valaya Alongkorn Rajabhat University under the Royal Patronage

DOI:

https://doi.org/10.58715/bangmodjmcs.2022.8.3

Abstract

In this article, we investigate and demonstrate the existence of a solution to a non-linear fractional differential equation with a non-local integral condition by finding new conditions of a fixed point in rectangular metric space for certain α-admissible condition mapping.

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Published

2022-12-31

How to Cite

Borisut, P., & Grace, T. (2022). α-ADMISSIBLE MAPPING IN RECTANGULAR METRICSPACE INVOLVING THE EXISTENCE SOLUTION OFTHE CAPUTO FRACTIONAL DIFFERENTIALEQUATION WITH NON-LOCAL INTEGRALCONDITIONS. Bangmod International Journal of Mathematical and Computational Science, 8, 27–36. https://doi.org/10.58715/bangmodjmcs.2022.8.3