Fixed Point Results with Applications to Fractional Differential Equations of Anomalous Diffusion

Z Ma, H Zahed, J Ahmad - Fractal and Fractional, 2024 - mdpi.com
The main objective of this manuscript is to define the concepts of F-(⋏, h)-contraction and (α,
η)-Reich type interpolative contraction in the framework of orthogonal F-metric space and …

Iterative Construction of Fixed Points for Functional Equations and Fractional Differential Equations

LU Rahman, M Arshad, STM Thabet… - Journal of …, 2023 - Wiley Online Library
This paper proposes some iterative constructions of fixed points for showing the existence
and uniqueness of solutions for functional equations and fractional differential equations …

Infinite system of nonlinear tempered fractional order BVPs in tempered sequence spaces

SN Rao, M Khuddush, AH Msmali… - Boundary Value …, 2024 - Springer
This paper deals with the existence results of the infinite system of tempered fractional BVPs
D r ϱ, λ 0 R zj (r)+ ψ j (r, z (r))= 0, 0< r< 1, zj (0)= 0, 0 RD rm, λ zj (0)= 0, b 1 zj (1)+ b 2 0 RD …

Solution of fractional differential equation by fixed point results in orthogonal -metric spaces

MH Alharbi, J Ahmad - AIMS Mathematics, 2023 - aimspress.com
In this paper, we solve the existence and uniqueness of a solution for a fractional differential
equation by introducing some new fixed point results for rational ($\alpha $, $\beta $, $\psi $) …

[PDF][PDF] Solution of fractional differential equation by fixed point results in orthogonal F-metric spaces

MH Alharbi, J Ahmad - aimspress.com
In this paper, we solve the existence and uniqueness of a solution for a fractional differential
equation by introducing some new fixed point results for rational (α, β, ψ)-contractions in the …