TY - JOUR
T1 - Applications to Nonlinear Fractional Differential Equations via Common Fixed Point on ℂ★-Algebra-Valued Bipolar Metric Spaces
AU - Mani, Gunaseelan
AU - Gnanaprakasam, Arul Joseph
AU - Subbarayan, Poornavel
AU - Chinnachamy, Subramanian
AU - George, Reny
AU - Mitrović, Zoran D.
N1 - Publisher Copyright:
© 2023 by the authors.
PY - 2023/7
Y1 - 2023/7
N2 - In the present paper, we prove common fixed point theorems under different contractive mappings on (Formula presented.) -algebra-valued bipolar metric spaces. The results generalize and expand some well-known results from the literature. Examples and applications are given to strengthen our conclusion. Additionally, as an application of our results, we show that some classes of the nonlinear fractional differential equations with the boundary conditions have a unique common solution.
AB - In the present paper, we prove common fixed point theorems under different contractive mappings on (Formula presented.) -algebra-valued bipolar metric spaces. The results generalize and expand some well-known results from the literature. Examples and applications are given to strengthen our conclusion. Additionally, as an application of our results, we show that some classes of the nonlinear fractional differential equations with the boundary conditions have a unique common solution.
KW - bipolar metric space
KW - common fixed point
KW - fractional differential equation
KW - ℂ-algebra
KW - ℂ-algebra-valued bipolar metric space
UR - http://www.scopus.com/inward/record.url?scp=85175103424&partnerID=8YFLogxK
U2 - 10.3390/fractalfract7070534
DO - 10.3390/fractalfract7070534
M3 - Article
AN - SCOPUS:85175103424
SN - 2504-3110
VL - 7
JO - Fractal and Fractional
JF - Fractal and Fractional
IS - 7
M1 - 534
ER -