in this paper, we prove the existence and uniqueness results to the random fractional functional differential equations under assumptions more general than the lipschitz type condition. moreover, the distance between exact solution and appropriate solution, and the existence extremal solution of the problem is also considered.

Let k be a global field, with Galois group Gk and Weil group Wk relative to a choice of separable closure ks/k. Let Γ be either Gk or Wk, and H a linear algebraic group over F = C or Qp with p 6= char(k). Let ρ : Γ→ H(F ) be a (continuous) representation, always understood to be ramified at only finitely many places (as is automatic for commutative H, but not for H = GL2 with k = Q and F = Qp, ...

A new mathematical model of Coronavirus (2019-nCov) using piecewise hybrid fractional order derivatives is given in this paper. Moreover, to be consistent with the physical problem, a parameter ? presented. The boundedness, existence, and positivity solutions for proposed are discussed. Two improved numerical methods presented Caputo proportional constant nonstandard modified Euler–Maruyama met...

A total of 15 morphological abnormalities characteristic of dyserythropoiesis were evaluated in bone marrow smears stained with May-Grunwald-Giemsa stain. Abnormalities were classified as: (a) anomalies of the nucleus (binuclearity, multinuclearity, nuclear lobulation, budding, fragmentation, chromatin lumping and pyknosis, intranuclear bridging, extrusion of the nucleus); and (b) anomalies of ...

Cytologic diagnosis of mycobacterial infection has conventionally depended on the recognition of granulomatous inflammation with caseous necrosis and the identification of acid-fast bacilli with special stains. Immunocompromised patients however may not mount the expected response. Mycobacteria can be seen as negative images in fine needle aspiration cytologic smears from patients with acquired...

A 39-year-old female presented with a mobile 1.5 cm nodule in the right breast. Fine needle aspiration cytology smears stained with May Grunwald Giemsa were highly cellular with a monotonous population of dissociated and clustered tumour cells that showed a bland cytological appearance with cytoplasmic vacuolation and occasional signet ring forms. Intracellular and extracellular mucus was prese...

A fourth-order compact difference approximation is derived for the space fractional derivatives by using the weighted average of the shifted Grunwald formulae combining the compact technique. The properties of proposed fractional difference quotient operator are presented and proved. Then the new approximation formula is applied to solving the space fractional diffusion equations. By the energy...

In Europe G6PD deficiency is encountered most frequently in Sardinia and Greece but may also be found in other Mediterranean countries (Sansone, Piga, and Segni, 1958; Szeinberg, Asher, and Sheba, 1958), including Yugoslavia (Fraser, Grunwald, and Stamatoyannopoulos, 1966). The occurrence of haemolytic anaemia after ingestion of fava beans in Yugoslavia was first reported as a clinical finding ...

This paper presents the continuous-time fractional linear systems and their main properties. Two particular classes of models are introduced: autoregressive-moving average type tempered system. For both classes, computations impulse response, transfer function, frequency response discussed. It is shown that such can have integer components. From component we deduce stability. The order always s...