This paper?s objective is to put forward anewkind of E?type contraction, which includes rational expression, by considering Proinov type functions and CG?simulation functions. contraction termed as a Suzuki-Proinov generalized (?,Z* E)?contraction mapping. Further, some common fixed point theorems using these new mappings, are triangular ??admissible pairs, demonstrated in the setting modular b...

In this paper, we aim to study the neutral-type delayed Caputo fractional differential equations of form CDαxt−gt,xt=ft,xt,t∈t0,∞,t0≥0 with order 0<α<1, which can be used describe growth processes in real-life sciences at present depends on not only past state but also rate. Our ultimate goal is concentrate convergence solutions a predetermined constant by establishing linkage between equ...

The paper presents an iterative numerical method for approximating solutions of two-dimensional Fredholm–Volterra integral equations the second kind. As these arise in many applications, there is a constant need accurate, but fast and simple to use approximations their solutions. proposed here uses successive Mann type suitable cubature formula. Mann’s procedure known converge faster than class...

This work is devoted to presenting a new four-step iterative scheme for approximating fixed points under almost contraction mappings and Reich–Suzuki-type nonexpansive (RSTN mappings, short). Additionally, we demonstrate that the proposed algorithm converges faster than variety of other current schemes. Furthermore, scheme’s ?2—stability result established corroborating example given clarify co...

Following the construction of the invariant integral and the scalar product for the quantum Euclidean group Eq(2), we obtained the full matrix elements of its unitary irreducible representations from SUq(2) by contraction and then derived the Planscherel measure.

Previous studies have reported that different modes of muscle contraction (i.e., eccentric or concentric contraction) with similar contraction times can affect muscle proteolytic responses. However, the effect of different contraction modes on muscle proteolytic response under the same force-time integral (FTI: contraction force × time) has not been investigated. The purpose of this study was t...

this paper describes an approximating solution, based on lagrange interpolation and spline functions, to treat functional integral equations of fredholm type and volterra type. this method can be extended to functional dierential and integro-dierential equations. for showing eciency of the method we give some numerical examples.

In the current paper, some existence and uniqueness results for a generalized proportional Hadamard fractional integral equation are established via Picard Picard-Krasnoselskii iteration methods together with Banach contraction principle. A simulative example was provided to verify applicability of theoretical findings.