In the present work we discuss the existence of solutions for a system of nonlinear fractional integro-differential equations with initial conditions. This system involving the Caputo fractional derivative and Riemann−Liouville fractional integral. Our results are based on a fixed point theorem of Schauder combined with the diagonalization method.

Present paper deals with the solution of time and space fractional Pennes bioheat equation. We consider time fractional derivative and space fractional derivative in the form of Caputo fractional derivative of order [Formula: see text] and Riesz-Feller fractional derivative of order [Formula: see text] respectively. We obtain solution in terms of Fox's H-function with some special cases, by usi...

Visceral leishmaniosis is one recent example of a global illness that demands our best efforts at understanding. Thus, mathematical modeling may be utilized to learn more about and make better epidemic forecasts. By taking into account the Caputo Caputo-Fabrizio derivatives, frictional model visceral was mathematically examined based on real data from Gedaref State, Sudan. The stability analysi...

Giuseppe Caputo, Un mondo orfano (Napoli, Polidoro Editore, 2023, pp.250, ISBN 978-888-5737-67-9) di Federico Cantoni

The focus of this research article is to investigate the notion fuzzy extended hexagonal b-metric spaces as a technique broadening rectangular and well derive Banach fixed point theorem several novel theorems with certain contraction mappings. analog inequality in specified follows utilizing function b(c,d): mhc,d,t+s+u+v+w?mhc,e,tb(c,d)?mhe,f,sb(c,d)?mhf,g,ub(c,d)?mhg,k,vb(c,d)?mhk,d,wb(c,d) f...

the present study introduces a new technique of homotopy perturbation method for the solution of systems of fractional partial differential equations. the proposed scheme is based on laplace transform and new homotopy perturbation methods. the fractional derivatives are considered in caputo sense. to illustrate the ability and reliability of the method some examples are provided. the results ob...