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Fractional differential equations related to an integral operator involving the incomplete I‐function as a kernel

Mathematical methods in the applied sciences, 2023
In this study, we present and examine a fractional integral operator with an I$$ I $$ ‐function in its kernel. This operator is used to solve several fractional differential equations (FDEs).
S. Bhatter   +4 more
semanticscholar   +1 more source

Co-Operation of Biology Related Algorithms

2013 IEEE Congress on Evolutionary Computation, 2013
A new meta-heuristic algorithm, called Co-Operation of Biology Related Algorithms (COBRA), for solving real-parameter optimization problems is introduced and described. The algorithm is based on cooperation of biologically inspired algorithms such as Particle Swarm Optimization (PSO), Wolf Pack Search Algorithm (WPS), Firefly Algorithm (FFA), Cuckoo ...
Shakhnaz Akhmedova, Eugene Semenkin
openaire   +2 more sources

Fractional differential equation pertaining to an integral operator involving incomplete H‐function in the kernel

Mathematical methods in the applied sciences, 2020
Fractional differential equations (FDEs) involving a family of special functions and their solutions represent different physical phenomena. FDEs are characterizing and solving many problems of mathematical physics, chemistry, biology, and engineering ...
M. Bansal   +4 more
semanticscholar   +1 more source

Towards a theory of meaning in biology: a proposal for an operative definition.

Rivista di biologia, 2003
Information is a concept developed inside the context of computational and computer sciences. Entropy is a concept developed inside physics context. The best concept in biology is that of "meaning" which is quite impossible to be measured as stated by some examples which are reported.
A. CORDELLI, GALLENI, LODOVICO
openaire   +3 more sources

Testing Methods: The Evaluation of Discovery Operations in Evolutionary Biology [PDF]

open access: possibleCladistics, 2002
Scientific discovery requires both abstract, theoretically defined concepts and discovery operations formed by sets of rules that permit the empirical detection of instances of those concepts. In this paper, I examine the ontological status of discovery operations and the tests employed to evaluate them in evolutionary biology.
openaire   +1 more source

Towards a Foundation Model for Partial Differential Equations: Multi-Operator Learning and Extrapolation

Physical Review E
Foundation models, such as large language models, have demonstrated success in addressing various language and image processing tasks. In this work, we introduce a multimodal foundation model for scientific problems, named PROSE-PDE.
Jingmin Sun   +3 more
semanticscholar   +1 more source

Sequestration and delays enable the synthesis of a molecular derivative operator

IEEE Conference on Decision and Control, 2020
Many biological systems need to sense and respond to chemical gradients in order to find nutrients and adapt to their environment. In nature, molecular networks able to compute molecular gradients are complex, making it challenging to build minimal ...
Christian Cuba Samaniego   +2 more
semanticscholar   +1 more source

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