Document Type : Research Paper

Authors

• Bhuban Chandra Deuri ¹
• Anupam Das ²

¹ Depth of Mathematics, Rajiv Gandhi University, India

² Department of Mathematics, Cotton University, Panbazar, Guwahati-781001, Assam, India

Abstract

A fixed point theorem is proved using a newly constructed contraction operator in this article, and the solvability of a more general type of fractional integrals based here on the proportional derivative is analyzed. We also use suitable examples to illustrate our findings.

Keywords

• Measure of noncompactness(MNC)
• integral equation
• Fixed point