Common Fixed-Points Technique for the Existence of a Solution to Fractional Integro-Differential Equations via Orthogonal Branciari Metric Spaces

被引：8

作者：

Gnanaprakasam, Arul Joseph ^{[1
]}

Nallaselli, Gunasekaran ^{[1
]}

Ul Haq, Absar ^{[2
]}

Mani, Gunaseelan ^{[3
]}

Baloch, Imran Abbas ^{[4
,5
]}

Nonlaopon, Kamsing ^{[6
]}

机构：

[1] SRM Inst Sci & Technol, Fac Engn & Technol, Coll Engn & Technol, Dept Math, Kattankulathur 603203, India

[2] Univ Engn & Technol, Dept Nat Sci & Humanities, Narowal Campus, Lahore 54000, Pakistan

[3] Saveetha Inst Med & Tech Sci, Saveetha Sch Engn, Dept Math, Chennai 602105, Tamil Nadu, India

[4] Govt Grad Coll Boys Gulberg, Higher Educ Dept, Punjab 54660, Pakistan

[5] Govt Coll Univ, Abdus Salam Sch Math Sci, Lahore 54600, Pakistan

[6] Khon Kaen Univ, Fac Sci, Dept Math, Khon Kaen 40002, Thailand

来源：

SYMMETRY-BASEL | 2022年 / 14卷 / 09期

关键词：

orthogonal set; orthogonal sequence; orthogonal continuous; orthogonal Branicari metric space; orthogonal triangular alpha-orbital admissible; POSITIVE SOLUTION; THEOREMS; SETS;

D O I：

10.3390/sym14091859

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

The idea of symmetry is a built-in feature of the metric function. In this paper, we investigate the existence and uniqueness of a fixed point of certain contraction via orthogonal triangular alpha-orbital admissible mapping in the context of orthogonal complete Branciari metric spaces endowed with a transitive binary relation. Our results generalize and extend some pioneering results in the literature. Furthermore, the existence criteria of the solutions to fractional integro-differential equations are established to demonstrate the applicability of our results.

引用

页数：23

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