Abstract In this paper, we obtain sufficient conditions for the existence and uniqueness results of pantograph fractional differential equations (FDEs) with nonlocal involving Atangana–Baleanu–Caputo (ABC) derivative operator orders. Our approach is based on reduction FDEs to integral some fixed point theorems such as Banach’s contraction principle theorem Krasnoselskii. Further, Gronwall’s ine...

In this article, we introduce the class of enriched Suzuki nonexpansive (ESN) mappings. We show that new mappings properly contains as well establish existence fixed point and convergence in a Hilbert space setting under Krasnoselskii iteration process. One our main results is applied to solve split feasibility problem (SFP) Our are significant improvement corresponding literature.

...

In the present work, we introduce a new hybrid iterative process which is combination of proximal point algorithms and modified Krasnoselskii-Mann algorithm for approximating common element set minimizers convex function fixed points finite family multivalued strictly pseudo-contractive mappings in framework Hilbert spaces. We then prove strong convergence proposed without imposing any compactn...

The current study is devoted to investigating the existence and uniqueness of solutions for a new class symmetrically coupled system nonlinear hyperbolic partial-fractional differential equations in generalized Banach spaces sense ψ–Caputo partial fractional derivative. Our approach based on Krasnoselskii-type fixed point theorem Perov’s together with Bielecki norm, while Urs’s was used prove U...

In this paper, we study the existence of solutions for a multiplied system fractional differential equations with nonlocal integro multi-point boundary conditions by using p-Laplacian operator and φ-Hilfer derivatives. The presented results are obtained fixed point theorems Krasnoselskii. An illustrative example is at end to show applicability results. To best our knowledge, first time where su...

This study focused on the existence and uniqueness(EU) stability of solution for a system fractional differential equations(FDEs) via Atangana-Baleanu derivative in sense Caputo (ABC) with \(\phi_{p}\)-Laplacian operator. Green function \( \mathcal{G}^{\eth}(t,s)\), \(m<\eth<m+1\), \(m\geq4\) used converting suggested problem to an integral equation. Guo-Krasnoselskii theorem proving EU problem...

In this paper, we prove the existence of a solution fractional hybrid differential equation involving Riemann-Liouville and integral operators by utilizing new version Kransoselskii-Dhage type fixed-point theorem obtained in [13]. Moreover, provide an example to support our result.

This paper is concerned with the existence and uniqueness of solutions for a new class boundary value problems, consisting by Hilfer-Hadamard fractional differential equations, supplemented nonlocal integro-multipoint conditions. The unique solution obtained via Banach contraction mapping principle, while results are established applying Schaefer Krasnoselskii fixed point theorems as well Leray...