On MartÃnez-Kaabar fractal-fractional double Laplace transformation
An extended version of the Martinez-Kaabar fractal-fractional (MKF-F) calculus theory is investigated in this work, to the integral transformations and employed in solving some fractal-fractional (F-F) partial integro-differential equations. Specifically,
Francisco MartÃnez +1 more
doaj +1 more source
Stochastic partial differential and integro-differential equations [PDF]
In this work we present some new results concerning stochastic partial differential and integro-differential equations (SPDEs and SPIDEs) that appear in non-linear filtering.
Dareiotis, Anastasios Constantinos
core
Singular integro-differential equations of parabolic type
We study a linear singular first-order integro-differential Cauchy problems in Banach spaces. Singular here means that the integro differential equation is not in normal form neither can it be reduced to such a form.
A. Favini, H. Tanabe, A. Lorenzi
core +2 more sources
Noncommutative operational calculus
Oliver Heaviside's operational calculus was placed on a rigorous mathematical basis by Jan Mikusinski, who constructed an algebraic setting for the operational methods.
Henry E. Heatherly, Jason P. Huffman
doaj
Some problems in irregular ordinary differential equations [PDF]
We study the non-autonomous ordinary differential equation x = f (t, x) in the situation when the vector field f is of limited regularity, typically belonging to a space LP (O,T; Lq (JRn)).
Sharples, Nicholas
core
Square integrable solutions and stability of a second-order stochastic integro-differential equation. [PDF]
Oudjedi-Damerdji LF +4 more
europepmc +1 more source
Dynamical analysis and exact solitary wave solutions of [Formula: see text]-dimensional integro-differential Jaulent-Miodek equation using two analytical schemes. [PDF]
Nasir B +5 more
europepmc +1 more source
Nonlinear Vibrations and Potential Instabilities of a Nanochassis Traveling a Route with Arbitrarily Tiny Irregularities. [PDF]
Xie B, Wu K, Nikkhoo A.
europepmc +1 more source
Dynamic properties of Kermack-McKendrick-like models. [PDF]
Diallo HA +3 more
europepmc +1 more source
Analytical investigation of soliton propagation in conformable fractional-order transmission line metamaterials. [PDF]
Almetwally EM +5 more
europepmc +1 more source

