Iterative Construction of Fixed Points for Functional Equations and Fractional Differential Equations by Latif Ur Rahman, Muhammad Arshad, Sabri T. M. Thabet, Imed Kedim

“…Using one of our main results, we solve a FDE from a broad class of fractional calculus. Eventually, we support our main results with a numerical example. …”
Get full text

New Subclass of Analytic Function Related with Generalized Conic Domain Associated with q− Differential Operator by Shahid Khan, Saqib Hussain, Ilyas Khan, Amnah s. Al-johani, Mulugeta Andualem

“…The quantum (or q-) calculus is widely applied in various operators which include the q-difference (q-derivative) operator, and this operator plays an important role in geometric function theory (GFT) as well as in the theory of hypergeometric series. …”
Get full text

Fractal Control and Synchronization of the Discrete Fractional SIRS Model by Miao Ouyang, Yongping Zhang, Jian Liu

“…The discrete SIRS models with the Caputo deltas sense and the theories of fractional calculus and fractal theory provide a reasonable and sensible perspective of studying infectious disease phenomenon. …”
Get full text

Local Fractional Z-Transforms with Applications to Signals on Cantor Sets by Kai Liu, Ren-Jie Hu, Carlo Cattani, Gong-Nan Xie, Xiao-Jun Yang, Yang Zhao

“…In this paper the Z-transform has been generalized by the coupling of both the Z-transform and the local fractional complex calculus. In the literature the local fractional Z-transform is applied to analyze signals, in the following it will be used to analyze signals on Cantor sets. …”
Get full text

Analytic Normalized Solutions of 2D Fractional Saint-Venant Equations of a Complex Variable by Najla M. Alarifi, Rabha W. Ibrahim

“…We aim to generalize this class of equations using fractional calculus of a complex variable. We deal with a fractional integral operator type Prabhakar operator in the open unit disk. …”
Get full text

Existence of Mild Solutions for Fuzzy Fractional Evolution Equations via Krasnosel’skii Fixed Point Theorem by Ismail Airou, Ali El Mfadel, Elomari Mhamed

“…The proofs are based on fuzzy strongly continuous semigroups, a new Krasnoselskii fixed point theorem appropriate for fuzzy metric spaces, and some elementary fuzzy fractional calculus tools.…”
Get full text

On geometric bases for quantum A-polynomials of knots by Dmitry Galakhov, Alexei Morozov

“…Restriction to solely Jones polynomials (rather than full HOMFLY-PT) is related to a serious simplification, provided by the use of Kauffman calculus. Going beyond looks realistic, however it remains a problem, both challenging and promising.…”
Get full text

THE CONFLUENCE OF SCIENCE AND ARTISTIC INSPIRATION IN GYÖRGY LIGETI’S MUSICAL THINKING by Attila FODOR

“…He manifested during his an opened attitude towards (almost all kind of) music, though his output is basically dominated by several – extremely personal – dichotomies, which ultimately demonstrate a fundamental duality of his personality: science-art, craft-intuition, calculus-emotion, presence-distance, mechanic-kaleidoscopic, grotesque-absurd, manipulation-ecstasy. …”
Get full text

Existence of Solution and Self-Exciting Attractor in the Fractional-Order Gyrostat Dynamical System by Muhammad Marwan, Gauhar Ali, Ramla Khan

“…This work identifies the influence of chaos theory on fractional calculus by providing a theorem for the existence and stability of solution in fractional-order gyrostat model with the help of a fixed-point theorem. …”
Get full text

Synchronization for a Class of Fractional-Order Hyperchaotic System and Its Application by Wen Tan, Feng Ling Jiang, Chuang Xia Huang, Lan Zhou

“…A new controller design method is proposed to synchronize the fractional-order hyperchaotic system through the stability theory of fractional calculus; the synchronization between two identical fractional-order Chen hyperchaotic systems is realized by designing only two suitable controllers in the response system. …”
Get full text

A new view of spaces and their properties in the sense of non-Newtonian measure. by Amer Darweesh, Adel Almalki, Kamel Al-Khaled, Alaa Ayyash

“…This study presents a novel approach to metric spaces through the lens of geometric calculus, redefining traditional structures with new operations and properties derived from non-Newtonian measures. …”
Get full text

Beyond Chaos in Fractional-Order Systems: Keen Insight in the Dynamic Effects by José Luis Echenausía-Monroy, Luis Alberto Quezada-Tellez, Hector Eduardo Gilardi-Velázquez, Omar Fernando Ruíz-Martínez, María del Carmen Heras-Sánchez, Jose E. Lozano-Rizk, José Ricardo Cuesta-García, Luis Alejandro Márquez-Martínez, Raúl Rivera-Rodríguez, Jonatan Pena Ramirez, Joaquín Álvarez

“…Fractional calculus (or arbitrary order calculus) refers to the integration and derivative operators of an order different than one and was developed in 1695. …”
Get full text

Blind equalization algorithm based on complex support vector regression by Ling YANG, Liang CHEN, Bin ZHAO, Guolong ZHANG, Yuan LI

“…A new blind equalization algorithm for complex valued signals was proposed based on the framework of complex support vector regression(CSVR).In the proposed algorithm,the error function of multi-modulus algorithm (MMA) was substituted into CSVR to construct the cost function,and the regression relationship was established by widely linear estimation,and the equalizer coefficients were determined by the iterative re-weighted least square (IRWLS) method.Different from spliting the complex valued signals into real valued signals used in support vector regression,the Wirtinger’s calculus was used in complex support vector regression to analyze the complex signals directly in the complex regenerative kernel Hilbert space.Simulation experiments show that for QPSK modulated signals,compared with the blind equalization algorithm based on support vector regression,the equalization performance of the proposed algorithm is significantly improved in linear channel and nonlinear channel by choosing appropriate kernel function and iterative optimization method.…”
Get full text

On Pierce-like idempotents and Hopf invariants by Giora Dula, Peter Hilton

“…There is a connection here with Selick and Walker's work, and with the Hilton matrix calculus, as described by Bokor (1991).…”
Get full text

Uniform Treatment of Jensen’s Inequality by Montgomery Identity by Tahir Rasheed, Saad Ihsan Butt, Đilda Pečarić, Josip Pečarić, Ahmet Ocak Akdemir

“…Montgomery identity has a great importance as many inequalities can be obtained from Montgomery identity in q−calculus and fractional integrals. Also, we give applications in information theory for our obtained results, especially for Zipf and Hybrid Zipf–Mandelbrot entropies.…”
Get full text

Optimal Control of Polymer Flooding Based on Maximum Principle by Yang Lei, Shurong Li, Xiaodong Zhang, Qiang Zhang, Lanlei Guo

“…To cope with the optimal control problem (OCP) of this DPS, the necessary conditions for optimality are obtained through application of the calculus of variations and Pontryagin’s weak maximum principle. …”
Get full text

Existence of a mild solution and approximate controllability for fractional random integro-differential inclusions with non-instantaneous impulses by Hasanen A. Hammad, Manuel De la Sen

“…Our analysis relies on concepts from stochastic analysis, fractional calculus, FP theory, semigroup theory, and the theory of multivalued maps (MVMs). …”
Get full text

Intravesical Migration of Missed Intrauterine Device Associated with Stone Formation: A Case Report and Review of the Literature by Mücahit Kart, Turgay Gülecen, Murat Üstüner, Seyfettin Çiftçi, Ufuk Yavuz, Cüneyd Özkürkçügil

“…Patient has no remarkable physical or laboratory finding but abdominal ultrasound revealed a 27 mm hyperechogenicity, suggestive of foreign body or calculus on the posterior bladder wall which was removed endoscopically. …”
Get full text

Efektivitas Penggunaan Aplikasi Open Source dalam Pembelajaran Matematika Komputer by I Made Dedy setiawan

“…The role of mathematics such as calculus, algebra and statistics is urgent for current technological developments. …”
Get full text

A Novel Reliability Assurance Method for Cyberphysical System Components Substitution by Peng Wang, Yang Xiang, Shaohua Zhang

“…The first one is a qualitative judgment method for CPS service substitution according to the relationship between service compatibility and substitution based on time-space π-calculus with time and space operators. The other one is consisted of substitution processes from above judgment results based on service management theory. …”
Get full text