Hybrid system is a dynamic system that exhibits both continuous and discrete dynamic behavior‎. ‎The hybrid differential equations have a wide range of applications in science and engineering‎. ‎The hybrid systems are devoted to modeling‎, ‎design‎, ‎and validation of interactive systems of computer programs and continuous systems‎. ‎Hybrid fuzzy differential equations (HFDEs) is considered by ...

The current article discusses the new fuzzy iterative transform method, a hybrid methodology based on logic and an transformation technique. We demonstrate consistency of our technique by employing Caputo derivative under generalized Hukuhara differentiability to construct fractional Klein-Gordon equations with initial condition. series produced result was calculated compared exact result’s rec...

Many mathematical models describe the Corona virus disease 2019 (COVID-19) outbreak; however, they require advance skills. The need for this study is to determine diffusion of COVID-19 vaccine in humans. To end, we first establish a Pythagorean fuzzy partial fractional differential equation using integral transforms express effects vaccination on humans under generalized Hukuhara conditions. We...

The fuzzy fractional differential equation explains more complex real-world phenomena than the does. Therefore, numerous techniques have been timely derived to solve various time-dependent models. In this paper, we develop two compact finite difference schemes and employ resulting obtain a certain solution for time-fractional convection–diffusion equation. Then, by making use of Caputo derivati...

hybrid system is a dynamic system that exhibits both continuous and discrete dynamic behavior‎. ‎the hybrid differential equations have a wide range of applications in science and engineering‎. ‎the hybrid systems are devoted to modeling‎, ‎design‎, ‎and validation of interactive systems of computer programs and continuous systems‎. ‎hybrid fuzzy differential equations (hfdes) is considered by ...

At the boundary between the proximal and distal divisions of the colon in the guinea-pig is a ring-like section which rhythmically contracts. HUKUHARA and his co-researchers demonstrated that antiperistaltic movements in the proximal colon start from this ring-like section, the so-called pacemaker area. Tissue specimens, 0.1-0.3 mm in width/height x 4-7 mm in length, were prepared from various ...

The study of set differential equations has been initiated as an independent subject and several results of interest can be found in [4–5, 10–12, 14]. The interesting feature of the set differential equations is that the results obtained in this new framework become the corresponding results of ordinary differential equations as the Hukuhara derivative and the integral used in formulating the s...

Recently HUKUHARA, KOTANI and SATO7) found that morphine always exerted an excitatory action on the motility of dog jejunal Thiry-loop, literature concerned being reviewed there. They drew a conclusion that morphine acted as an excitant to the intestinal muscle itself, since it could raise the intestinal motility after atropine as well as hexamethonium had been administered and on the other han...

This article proposes a general gH-gradient efficient-direction method and $${\mathcal{W}}$$ -gH-gradient efficient for the optimization problems with interval-valued functions. The convergence analysis step-wise algorithms of both methods are presented. It is observed that converges linearly strongly convex objective function. To develop proposed to study their convergence, ideas strong convex...

Existence and uniqueness theorems are proved for Cauchy problems of second-order fuzzy differential equations. 1. Introduction. In 1972, Chang and Zadeh [2] first introduced the concept of fuzzy derivative, followed up ten years later by Dubois and Prade [5], who used the extension principle in their approach. In the mean time, Puri and Ralescu [12] used the notion of H-differentiability to ext...