The generalized Banach contraction conjecture in b-metric spaces
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-018-0489-6
Abstract: Using some combinatorial arguments and, in particular, the pigeonhole principle, we prove that the generalized Banach contraction conjecture in b-metric spaces is true if every b-metric space (X, D, K) is a metric-type space and $$M \in… read more here.
Keywords: banach contraction; contraction conjecture; metric spaces; conjecture metric ... See more keywords
Random Coupled Hilfer and Hadamard Fractional Differential Systems in Generalized Banach Spaces
Sign Up to like & getrecommendations! Published in 2019 at "Mathematics"
DOI: 10.3390/math7030285
Abstract: This article deals with some existence and uniqueness result of random solutions for some coupled systems of Hilfer and Hilfer–Hadamard fractional differential equations with random effects. Some applications are made of generalizations of classical random… read more here.
Keywords: fractional differential; generalized banach; hilfer hadamard; hadamard fractional ... See more keywords
A Mathematical Theoretical Study of a Coupled Fully Hybrid (k, Φ)-Fractional Order System of BVPs in Generalized Banach Spaces
Sign Up to like & getrecommendations! Published in 2023 at "Symmetry"
DOI: 10.3390/sym15051041
Abstract: In this paper, we study a coupled fully hybrid system of (k,Φ)–Hilfer fractional differential equations equipped with non-symmetric (k,Φ)–Riemann-Liouville (RL) integral conditions. To prove the existence and uniqueness results, we use the Krasnoselskii and Perov… read more here.
Keywords: system; fully hybrid; generalized banach; coupled fully ... See more keywords