Complexity (Jan 2021)

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

  • Hasanen A. Hammad,
  • Hassen Aydi,
  • Manuel De la Sen

DOI
https://doi.org/10.1155/2021/5730853
Journal volume & issue
Vol. 2021

Abstract

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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.