Linear differential equation

Metric (unit)

Metric space

Mathematics

Biology

Mathematical proof

Fractional calculus

Mathematical analysis

Economics

Integral equation

Ecology

Operations management

Geometry

Type (biology)

Fixed point

Differential equation

Applied mathematics

Fixed-point theorem

Fredholm integral equation

Complexity

This paper involves extended b −metric versions of a fractional differential equation, a system of fractional differential equations and two‐dimensional (2D) linear Fredholm integral equations. By various given hypotheses, exciting results are established in the setting of an extended b −metric space. Thereafter, by making consequent use of the fixed point technique, short and simple proofs are obtained for solutions of a fractional differential equation, a system of fractional differential equations and a two‐dimensional linear Fredholm integral equation.

Solutions of Fractional Differential Type Equations by Fixed Point Techniques for Multivalued Contractions